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
tranvietanh@outlook.com
Le Dung Muu
TIMAS, Thang Long University, Hanoi, Vietnam
ldmuu@math.ac.vn
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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