On the generalized asymptotically nonspreading mappings in convex metric spaces

Withun Phuengrattana

Abstract

In this article, we propose a new class of nonlinear mappings, namely, generalized asymptotically nonspreading mapping, and prove the existence of fixed points for such mapping in convex metric spaces. Furthermore, we also obtain the demiclosed principle and a delta-convergence theorem of Mann iteration for generalized asymptotically nonspreading mappings in CAT(0) spaces.


Keywords

asymptotically nonspreading mapping; convex metric spaces; CAT(0) spaces; demiclosed principle

Subject classification

47H09; 47H10.

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