Title of article :
Fixed points and common points for fundamentally nonexpansive mappings on banach spaces
Author/Authors :
Moosaei ، Moohammad Department of Mathematics - Faculty of Science - Bu-Ali Sina University
Abstract :
In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact convex subset of a strictly convex Banach space with the Opial condition and a uniformly convex in every direction Banach space, respectively; moreover, we show that the common fixed points set of such a family of mappings is closed and convex.
Keywords :
Common fixed point , fixed point , Fundamentally nonexpansive mappings , nonexpansive mappings , Opial’s condition , Uniformly convex in every direction Banach spaces
Journal title :
Journal of Hyperstructures
Journal title :
Journal of Hyperstructures