Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets

Tran Viet Anh; Le Dung Muu

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Convexity
pseudomonotonicity
quasi-nonexpansive mapping
fixed point
equilibria

Mathematics Subject Classification

47J25, 47N10, 90C25

Suggested citation

T. V. Anh, L. D. Muu. “Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets.” Journal of Convex Analysis 25 (2018), No. 4, 1105–1119.