Title of article :
Strong Convergence of the Iterations of Quasi ϕ-nonexpansive Mappings and its Applications in Banach Spaces
Author/Authors :
Jahed ، Rasoul Department of Mathematics - Islamic Azad University, Sarab Branch , Vaezi ، Hamid Department of Mathematics - Faculty of Mathematical Science - University of Tabriz , Piri ، Hossein Department of Mathematics - University of Bonab
Abstract :
In this paper, we study the iterations of quasi ϕ-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi ϕ-nonexpansive mappings. Then, we give applica tions of our main results in equilibrium problems.
Keywords :
Demiclosed , Equilibrium problem , Fixed point , Hybrid projection , Quasi nonexpansive mapping , Resolvent
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
