Common Fixed Point Theorems For Cr-Iteration Scheme In Three Multivalued Mappings
i-manager’s Journal on Mathematics · 2019
The purpose of this paper is to introduce multivalued version of CR iteration process given by Chugh, Kumar, and Kumar (2012) and prove common fixed point theorem for this iteration in three multivalued r -nonexpansive mappings in modular space. Let r Î satisfy (UUC1) and C Ì L be nonempty r -bounded and convex set. Let T , T , T : C→P (C) be three r 1 2 3 ρ T T T 1 2 3 multivalued mappings such that P , P , and P are r -nonexpansive mappings with F = F (T ) Ç F (T ) Ç F (T ) ¹ f . Suppose r r r , r 1 r 2 r 3 T , T , and T satisfy condition (I). Then the sequence {f } defined by the authors converges to a point of F. 1 2 3 n