A NEW THREE-STEP ITERATION FOR GENERALIZED NONEXPANSIVE MAPPINGS IN A CAT(0) SPACE

Subject Approximation theory
Title A NEW THREE-STEP ITERATION FOR GENERALIZED NONEXPANSIVE MAPPINGS IN A CAT(0) SPACE
Author(s) Metin Başarır, Aynur Şahin
Keywords Iteration methods, fixed point, Cat(0) space, nonexpansive mapping
Abstract In this study, we apply the new three-step iteration process into a CAT(0) space and prove some theorems on the strong and delta-convergence of the new three-step iteration for generalized nonexpansive mappings in a CAT(0)space.