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Journal of Convex Analysis 25 (2018), No. 4, 1105--1119
Copyright Heldermann Verlag 2018

Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets

Tran Viet Anh
Dept. of Scientific Fundamentals, Telecommunications Institute, Hanoi, Vietnam

Le Dung Muu
TIMAS, Thang Long University, Hanoi, Vietnam

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.

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

MSC: 47J25, 47N10, 90C25

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