Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2018

AUTHORS

Richard I. Avery , Douglas R. Anderson , Johnny Henderson

ABSTRACT

In this paper we show how one can use suitable k-contractive conditions to prove that iterates converge to a fixed point guaranteed by a compression-expansion fixed point theorem of functional type, even though the operator is not known to be invariant on the underlying set.

PAGES

21-35

References to SciGraph publications

Book

TITLE

Applications of Nonlinear Analysis

ISBN

978-3-319-89814-8
978-3-319-89815-5

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-89815-5_2

DOI

http://dx.doi.org/10.1007/978-3-319-89815-5_2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1105208279


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", 
    "author": [
      {
        "affiliation": {
          "alternateName": "Dakota State University", 
          "id": "https://www.grid.ac/institutes/grid.254833.b", 
          "name": [
            "Dakota State University"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Avery", 
        "givenName": "Richard I.", 
        "id": "sg:person.014171310645.26", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014171310645.26"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Concordia College"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Anderson", 
        "givenName": "Douglas R.", 
        "id": "sg:person.010423172053.70", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010423172053.70"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Baylor University", 
          "id": "https://www.grid.ac/institutes/grid.252890.4", 
          "name": [
            "Baylor University"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Henderson", 
        "givenName": "Johnny", 
        "id": "sg:person.015530552723.71", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015530552723.71"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1016/0022-247x(87)90037-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1011609698"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1112/jlms/s2-38.3.503", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029440062"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.na.2006.06.003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029844103"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/10236190290015344", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1033288759"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-662-00547-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044085730", 
          "https://doi.org/10.1007/978-3-662-00547-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-662-00547-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044085730", 
          "https://doi.org/10.1007/978-3-662-00547-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-4838-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109705050", 
          "https://doi.org/10.1007/978-1-4612-4838-5"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4612-4838-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1109705050", 
          "https://doi.org/10.1007/978-1-4612-4838-5"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018", 
    "datePublishedReg": "2018-01-01", 
    "description": "In this paper we show how one can use suitable k-contractive conditions to prove that iterates converge to a fixed point guaranteed by a compression-expansion fixed point theorem of functional type, even though the operator is not known to be invariant on the underlying set.", 
    "editor": [
      {
        "familyName": "Rassias", 
        "givenName": "Themistocles M.", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-319-89815-5_2", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-319-89814-8", 
        "978-3-319-89815-5"
      ], 
      "name": "Applications of Nonlinear Analysis", 
      "type": "Book"
    }, 
    "name": "Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type", 
    "pagination": "21-35", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-319-89815-5_2"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "02bdfcad4eaf7b06dcf918dd90de3b5e7d1dd5a0567e6cdcb9b247893658b0fb"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1105208279"
        ]
      }
    ], 
    "publisher": {
      "location": "Cham", 
      "name": "Springer International Publishing", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-319-89815-5_2", 
      "https://app.dimensions.ai/details/publication/pub.1105208279"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T23:35", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8695_00000604.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-319-89815-5_2"
  }
]
 

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.10.1007/978-3-319-89815-5_2'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-89815-5_2'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-89815-5_2'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-89815-5_2'


 

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

96 TRIPLES      22 PREDICATES      31 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-319-89815-5_2 schema:author N59089c4050a04e209cdbcf3c30d2bdf4
2 schema:citation sg:pub.10.1007/978-1-4612-4838-5
3 sg:pub.10.1007/978-3-662-00547-7
4 https://doi.org/10.1016/0022-247x(87)90037-0
5 https://doi.org/10.1016/j.na.2006.06.003
6 https://doi.org/10.1080/10236190290015344
7 https://doi.org/10.1112/jlms/s2-38.3.503
8 schema:datePublished 2018
9 schema:datePublishedReg 2018-01-01
10 schema:description In this paper we show how one can use suitable k-contractive conditions to prove that iterates converge to a fixed point guaranteed by a compression-expansion fixed point theorem of functional type, even though the operator is not known to be invariant on the underlying set.
11 schema:editor Nf049bf00c6e64a51b3bcac37e4b345fc
12 schema:genre chapter
13 schema:inLanguage en
14 schema:isAccessibleForFree false
15 schema:isPartOf Na94aa5ff407e4ba6a786766fe42aea82
16 schema:name Criteria for Convergence of Iterates in a Compression-Expansion Fixed Point Theorem of Functional Type
17 schema:pagination 21-35
18 schema:productId N7a9f16c8b55c41fc8bf611b4b9b9987d
19 Na96bc8642a474f589b7725f4a157fb09
20 Nfd9bead58e7243b1995c6afc66719358
21 schema:publisher Ne6eb027ddef847aaa51f292eec9e0e2f
22 schema:sameAs https://app.dimensions.ai/details/publication/pub.1105208279
23 https://doi.org/10.1007/978-3-319-89815-5_2
24 schema:sdDatePublished 2019-04-15T23:35
25 schema:sdLicense https://scigraph.springernature.com/explorer/license/
26 schema:sdPublisher Na1e1f921683d41b795a606b92ad25c7a
27 schema:url http://link.springer.com/10.1007/978-3-319-89815-5_2
28 sgo:license sg:explorer/license/
29 sgo:sdDataset chapters
30 rdf:type schema:Chapter
31 N1c5dae43c0984d519e291b26e2dd6ffd schema:familyName Rassias
32 schema:givenName Themistocles M.
33 rdf:type schema:Person
34 N59089c4050a04e209cdbcf3c30d2bdf4 rdf:first sg:person.014171310645.26
35 rdf:rest Nac85fe1ba3de42a58281d7fa7ae0635e
36 N7a9f16c8b55c41fc8bf611b4b9b9987d schema:name dimensions_id
37 schema:value pub.1105208279
38 rdf:type schema:PropertyValue
39 N9f0374fb491442f4a975948650fb1978 schema:name Concordia College
40 rdf:type schema:Organization
41 Na1e1f921683d41b795a606b92ad25c7a schema:name Springer Nature - SN SciGraph project
42 rdf:type schema:Organization
43 Na94aa5ff407e4ba6a786766fe42aea82 schema:isbn 978-3-319-89814-8
44 978-3-319-89815-5
45 schema:name Applications of Nonlinear Analysis
46 rdf:type schema:Book
47 Na96bc8642a474f589b7725f4a157fb09 schema:name doi
48 schema:value 10.1007/978-3-319-89815-5_2
49 rdf:type schema:PropertyValue
50 Nac85fe1ba3de42a58281d7fa7ae0635e rdf:first sg:person.010423172053.70
51 rdf:rest Nbb5de3d49bbf4d1e9eff5cdf58f9cad4
52 Nbb5de3d49bbf4d1e9eff5cdf58f9cad4 rdf:first sg:person.015530552723.71
53 rdf:rest rdf:nil
54 Ne6eb027ddef847aaa51f292eec9e0e2f schema:location Cham
55 schema:name Springer International Publishing
56 rdf:type schema:Organisation
57 Nf049bf00c6e64a51b3bcac37e4b345fc rdf:first N1c5dae43c0984d519e291b26e2dd6ffd
58 rdf:rest rdf:nil
59 Nfd9bead58e7243b1995c6afc66719358 schema:name readcube_id
60 schema:value 02bdfcad4eaf7b06dcf918dd90de3b5e7d1dd5a0567e6cdcb9b247893658b0fb
61 rdf:type schema:PropertyValue
62 sg:person.010423172053.70 schema:affiliation N9f0374fb491442f4a975948650fb1978
63 schema:familyName Anderson
64 schema:givenName Douglas R.
65 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010423172053.70
66 rdf:type schema:Person
67 sg:person.014171310645.26 schema:affiliation https://www.grid.ac/institutes/grid.254833.b
68 schema:familyName Avery
69 schema:givenName Richard I.
70 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014171310645.26
71 rdf:type schema:Person
72 sg:person.015530552723.71 schema:affiliation https://www.grid.ac/institutes/grid.252890.4
73 schema:familyName Henderson
74 schema:givenName Johnny
75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015530552723.71
76 rdf:type schema:Person
77 sg:pub.10.1007/978-1-4612-4838-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1109705050
78 https://doi.org/10.1007/978-1-4612-4838-5
79 rdf:type schema:CreativeWork
80 sg:pub.10.1007/978-3-662-00547-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044085730
81 https://doi.org/10.1007/978-3-662-00547-7
82 rdf:type schema:CreativeWork
83 https://doi.org/10.1016/0022-247x(87)90037-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011609698
84 rdf:type schema:CreativeWork
85 https://doi.org/10.1016/j.na.2006.06.003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029844103
86 rdf:type schema:CreativeWork
87 https://doi.org/10.1080/10236190290015344 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033288759
88 rdf:type schema:CreativeWork
89 https://doi.org/10.1112/jlms/s2-38.3.503 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029440062
90 rdf:type schema:CreativeWork
91 https://www.grid.ac/institutes/grid.252890.4 schema:alternateName Baylor University
92 schema:name Baylor University
93 rdf:type schema:Organization
94 https://www.grid.ac/institutes/grid.254833.b schema:alternateName Dakota State University
95 schema:name Dakota State University
96 rdf:type schema:Organization
 




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


...