Two algorithms for solving mixed equilibrium problems and fixed point problems in Hilbert spaces View Full Text


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Article Info

DATE

2021-10-26

AUTHORS

Mohammad Farid

ABSTRACT

Our study in this paper is focused on mixed equilibrium problems as well as combination with and fixed point problems in real Hilbert spaces. We introduce a new extension of a skew-symmetric bi-functions, called generalized skew-symmetric bi-functions. Two iterative methods based on the subgradient extragradient method is presented and their weak convergence theorems are proved under some mild assumptions. Further, we discuss some numerical examples to demonstrate the applicability of the iterative algorithm. The methods and analysis is new and extend several related result in the literature. More... »

PAGES

253-268

References to SciGraph publications

  • 2006-01. Weak Convergence Theorem by an Extragradient Method for Nonexpansive Mappings and Monotone Mappings in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2010-10-15. The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 2003-08. Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • 1966-07. On some non-linear elliptic differential-functional equations in ACTA MATHEMATICA
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11565-021-00380-8

    DOI

    http://dx.doi.org/10.1007/s11565-021-00380-8

    DIMENSIONS

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