Common fixed point and approximation results for generalized (f, g)-weak contractions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2012-05-08

AUTHORS

Farhana Akbar, Abdul Rahim Khan, Nazra Sultana

ABSTRACT

The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.Mathematics Subject Classification 2000: Primary, 47H10; 54H25; 47E10. More... »

PAGES

75

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/1687-1812-2012-75

DOI

http://dx.doi.org/10.1186/1687-1812-2012-75

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1003742240


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Sargodha, Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.412782.a", 
          "name": [
            "Department of Mathematics, University of Sargodha, Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Akbar", 
        "givenName": "Farhana", 
        "id": "sg:person.014136113357.60", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014136113357.60"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia", 
          "id": "http://www.grid.ac/institutes/grid.412135.0", 
          "name": [
            "Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Khan", 
        "givenName": "Abdul Rahim", 
        "id": "sg:person.013342426217.47", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013342426217.47"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Department of Mathematics, University of Sargodha, Sargodha, Pakistan", 
          "id": "http://www.grid.ac/institutes/grid.412782.a", 
          "name": [
            "Department of Mathematics, University of Sargodha, Sargodha, Pakistan"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sultana", 
        "givenName": "Nazra", 
        "id": "sg:person.014551612041.05", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014551612041.05"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1155/fpta.2005.355", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052886203", 
          "https://doi.org/10.1155/fpta.2005.355"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1155/2009/207503", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043679475", 
          "https://doi.org/10.1155/2009/207503"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-540-72234-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009211212", 
          "https://doi.org/10.1007/978-3-540-72234-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1186/1687-1812-2011-11", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041693473", 
          "https://doi.org/10.1186/1687-1812-2011-11"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-94-015-8822-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018363846", 
          "https://doi.org/10.1007/978-94-015-8822-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10114-007-0935-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045739599", 
          "https://doi.org/10.1007/s10114-007-0935-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-0348-8910-0_2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1038775544", 
          "https://doi.org/10.1007/978-3-0348-8910-0_2"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2012-05-08", 
    "datePublishedReg": "2012-05-08", 
    "description": "The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.Mathematics Subject Classification 2000: Primary, 47H10; 54H25; 47E10.", 
    "genre": "article", 
    "id": "sg:pub.10.1186/1687-1812-2012-75", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1136165", 
        "issn": [
          "1687-1812", 
          "1687-1820"
        ], 
        "name": "Fixed Point Theory and Applications", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "2012"
      }
    ], 
    "keywords": [
      "approximation results", 
      "invariant approximation results", 
      "Banach spaces", 
      "contractive mappings", 
      "nonempty subset", 
      "recent results", 
      "space", 
      "existence", 
      "point", 
      "mapping", 
      "results", 
      "applications", 
      "subset", 
      "literature", 
      "contraction", 
      "primary"
    ], 
    "name": "Common fixed point and approximation results for generalized (f, g)-weak contractions", 
    "pagination": "75", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1003742240"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1186/1687-1812-2012-75"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1186/1687-1812-2012-75", 
      "https://app.dimensions.ai/details/publication/pub.1003742240"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2021-12-01T19:27", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20211201/entities/gbq_results/article/article_578.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1186/1687-1812-2012-75"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1186/1687-1812-2012-75'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1186/1687-1812-2012-75'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1186/1687-1812-2012-75'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1186/1687-1812-2012-75'


 

This table displays all metadata directly associated to this object as RDF triples.

119 TRIPLES      22 PREDICATES      48 URIs      33 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1186/1687-1812-2012-75 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N173fad63a69d44fcac4de3f4c08d4daf
4 schema:citation sg:pub.10.1007/978-3-0348-8910-0_2
5 sg:pub.10.1007/978-3-540-72234-2
6 sg:pub.10.1007/978-94-015-8822-5
7 sg:pub.10.1007/s10114-007-0935-7
8 sg:pub.10.1155/2009/207503
9 sg:pub.10.1155/fpta.2005.355
10 sg:pub.10.1186/1687-1812-2011-11
11 schema:datePublished 2012-05-08
12 schema:datePublishedReg 2012-05-08
13 schema:description The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and improve several recent results in the literature.Mathematics Subject Classification 2000: Primary, 47H10; 54H25; 47E10.
14 schema:genre article
15 schema:inLanguage en
16 schema:isAccessibleForFree true
17 schema:isPartOf Nacfa92b60a314f12b7e6b041634f225f
18 Nc965c48a9e25445f9021f822ecbc57fe
19 sg:journal.1136165
20 schema:keywords Banach spaces
21 applications
22 approximation results
23 contraction
24 contractive mappings
25 existence
26 invariant approximation results
27 literature
28 mapping
29 nonempty subset
30 point
31 primary
32 recent results
33 results
34 space
35 subset
36 schema:name Common fixed point and approximation results for generalized (f, g)-weak contractions
37 schema:pagination 75
38 schema:productId N8a3e227845ce4228b43267078a2e4563
39 Na4f06f4635fc473987dff648e7d8a349
40 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003742240
41 https://doi.org/10.1186/1687-1812-2012-75
42 schema:sdDatePublished 2021-12-01T19:27
43 schema:sdLicense https://scigraph.springernature.com/explorer/license/
44 schema:sdPublisher Nbdafc6eaec21455a808aa552ab24bdef
45 schema:url https://doi.org/10.1186/1687-1812-2012-75
46 sgo:license sg:explorer/license/
47 sgo:sdDataset articles
48 rdf:type schema:ScholarlyArticle
49 N173fad63a69d44fcac4de3f4c08d4daf rdf:first sg:person.014136113357.60
50 rdf:rest N93a606a8a5524f45a18d03a845f1306d
51 N671c638d2a9242d38caf8974817578a5 rdf:first sg:person.014551612041.05
52 rdf:rest rdf:nil
53 N8a3e227845ce4228b43267078a2e4563 schema:name dimensions_id
54 schema:value pub.1003742240
55 rdf:type schema:PropertyValue
56 N93a606a8a5524f45a18d03a845f1306d rdf:first sg:person.013342426217.47
57 rdf:rest N671c638d2a9242d38caf8974817578a5
58 Na4f06f4635fc473987dff648e7d8a349 schema:name doi
59 schema:value 10.1186/1687-1812-2012-75
60 rdf:type schema:PropertyValue
61 Nacfa92b60a314f12b7e6b041634f225f schema:volumeNumber 2012
62 rdf:type schema:PublicationVolume
63 Nbdafc6eaec21455a808aa552ab24bdef schema:name Springer Nature - SN SciGraph project
64 rdf:type schema:Organization
65 Nc965c48a9e25445f9021f822ecbc57fe schema:issueNumber 1
66 rdf:type schema:PublicationIssue
67 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
68 schema:name Mathematical Sciences
69 rdf:type schema:DefinedTerm
70 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
71 schema:name Pure Mathematics
72 rdf:type schema:DefinedTerm
73 sg:journal.1136165 schema:issn 1687-1812
74 1687-1820
75 schema:name Fixed Point Theory and Applications
76 schema:publisher Springer Nature
77 rdf:type schema:Periodical
78 sg:person.013342426217.47 schema:affiliation grid-institutes:grid.412135.0
79 schema:familyName Khan
80 schema:givenName Abdul Rahim
81 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013342426217.47
82 rdf:type schema:Person
83 sg:person.014136113357.60 schema:affiliation grid-institutes:grid.412782.a
84 schema:familyName Akbar
85 schema:givenName Farhana
86 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014136113357.60
87 rdf:type schema:Person
88 sg:person.014551612041.05 schema:affiliation grid-institutes:grid.412782.a
89 schema:familyName Sultana
90 schema:givenName Nazra
91 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014551612041.05
92 rdf:type schema:Person
93 sg:pub.10.1007/978-3-0348-8910-0_2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1038775544
94 https://doi.org/10.1007/978-3-0348-8910-0_2
95 rdf:type schema:CreativeWork
96 sg:pub.10.1007/978-3-540-72234-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009211212
97 https://doi.org/10.1007/978-3-540-72234-2
98 rdf:type schema:CreativeWork
99 sg:pub.10.1007/978-94-015-8822-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018363846
100 https://doi.org/10.1007/978-94-015-8822-5
101 rdf:type schema:CreativeWork
102 sg:pub.10.1007/s10114-007-0935-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045739599
103 https://doi.org/10.1007/s10114-007-0935-7
104 rdf:type schema:CreativeWork
105 sg:pub.10.1155/2009/207503 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043679475
106 https://doi.org/10.1155/2009/207503
107 rdf:type schema:CreativeWork
108 sg:pub.10.1155/fpta.2005.355 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052886203
109 https://doi.org/10.1155/fpta.2005.355
110 rdf:type schema:CreativeWork
111 sg:pub.10.1186/1687-1812-2011-11 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041693473
112 https://doi.org/10.1186/1687-1812-2011-11
113 rdf:type schema:CreativeWork
114 grid-institutes:grid.412135.0 schema:alternateName Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
115 schema:name Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
116 rdf:type schema:Organization
117 grid-institutes:grid.412782.a schema:alternateName Department of Mathematics, University of Sargodha, Sargodha, Pakistan
118 schema:name Department of Mathematics, University of Sargodha, Sargodha, Pakistan
119 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...