Some convergence results using K iteration process in CAT(0) $\mathit{CAT}(0)$ spaces

Abstract

Abstract In this paper, some strong and Δ-convergence results are proved for Suzuki generalized nonexpansive mappings in the setting of CAT(0) $\mathit{CAT}(0)$ spaces using the K iteration process. We also give an example to show the efficiency of the K iteration process. Our results are the extension, improvement and generalization of many well-known results in the literature of fixed point theory in CAT(0) $\mathit{CAT}(0)$ spaces.

Keywords

• Suzuki generalized nonexpansive mapping
• CAT ( 0 ) $\mathit{CAT}(0)$ space
• K iteration process
• Δ-convergence
• Strong convergence