Ishikawa iteration process on CAT(K) spaces

TL;DR

This paper investigates the convergence behavior of Ishikawa iterative processes within complete CAT(K) spaces, extending the understanding of iterative methods in non-linear geometric contexts.

Contribution

It establishes $ riangle$-convergence results for Ishikawa iterations specifically in complete CAT(K) spaces, a novel extension in geometric analysis.

Findings

Proves $ riangle$-convergence of Ishikawa iterations in CAT(K) spaces

Extends iterative convergence theory to non-linear metric spaces

Provides new insights into fixed point theory in geometric contexts

Abstract

In this paper, we establish $\Delta$-convergence results for Ishikawa iterations in complete CAT(K) spaces.