Sci Math | Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets

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Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets

Authors: Tran Viet Anh, Lê Dũng Mưu,

https://www.heldermann.de/JCA/JCA25/JCA254/jca25070.htm

Publisher, magazine: ,

Publication year: 2018

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Abstract

We present new quasi-nonexpansive mappings involving pseudomonotone bifunctions defined on convex sets in real Hilbert space. We investigate some properties concerning their fixed point sets. Some applications to equilibrium problems are discussed.

Tags: Convexity, pseudomonotonicity, quasi-nonexpansive mapping, fixed point, equilibria.

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