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zbMATH Open
Article . 2019
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Journal of Nonlinear and Variational Analysis
Article . 2019 . Peer-reviewed
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A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces

Authors: Ogbuisi, Ferdinard U.; Shehu, Yekini;

A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces

Abstract

Summary: In this paper, we propose a simultaneous projected subgradient-proximal type iterative algorithm to solve a split equality equilibrium problem with pseudomonotone bifunctions in 2-uniformly convex and uniformly smooth Banach spaces. We obtain convergence results under some mild conditions on the bifunctions. Furthermore, we also give applications to the domain decomposition for PDEs.

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Keywords

Numerical optimization and variational techniques, Iterative procedures involving nonlinear operators, split equality equilibrium problem, Applications of operator theory to differential and integral equations, projected subgradient-proximal method, pseudomonotone bifunctions, 2-uniformly convex Banach space, Monotone operators and generalizations, uniformly smooth Banach space

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average