Strong Convergence of the Iterations of Quasi φ-nonexpansiveMappings and its Applications in Banach Spaces, By Hossein Piri

Research

Title	Strong Convergence of the Iterations of Quasi φ-nonexpansiveMappings and its Applications in Banach Spaces
Type	Article
Keywords	Demiclosed, Equilibrium problem, Fixed point, Hybridprojection, Quasi nonexpansive mapping, Resolvent.
Researchers	Rasoul Jahed، Hamid Vaezi، Hossein Piri

Abstract

In this paper, we study the iterations of quasiφ-nonexpansive mappings and its applications in Banach spaces.At the rst, we prove strong convergence of the sequence generatedby the hybrid proximal point method to a common xed point of afamily of quasiφ-nonexpansive mappings. Then, we give applica-tions of our main results in equilibrium problems