On Some Convergence Results for Hybrid Maximal Functions in Cat(0) Spaces

Abstract

The study of CAT(0) spaces plays a crucial role not only in Reimann Geometry but also in Functional Analysis, Numerical Analysis, ect. The applications of Fixed Point Theory under some conditions in CAT(0) spaces have been on focus of many research papers. Their goals are in generalizing the expansive or contractive function, or giving new iteration which improves the convergent conditions for a function to its fixed points. The goal of this paper is the study of some convergence aspects of modified hybrid maximal functions in a complete CAT(0) space. There are given some sufficient conditions which guarantee the convergence of a sequence based on a new iteration for modified hybrid maximal function or hybrid partial maximal function using Fixed Point Theory.