The aim of this paper is to study the convergence behaviour of $K^*$ iteration process for generalized $alpha$−Reich-Suzuki nonexpansive mapping in CAT(0) space. Besides proving some convergence results, we provide a numerical example to illustrate our results. In this process, several existing results in literature are generalized and improved, in particular results of Ullah and Arshad [Journal of Linear and Topological Algebra, 2018] and Pandey et al. [Results in Mathematics, 2019].

APPROXIMATING FIXED POINTS OF GENERALIZED $alpha$-REICH-SUZUKI NONEXPANSIVE MAPPING IN CAT(0) SPACE

VITTORIO COLAO
2020

Abstract

The aim of this paper is to study the convergence behaviour of $K^*$ iteration process for generalized $alpha$−Reich-Suzuki nonexpansive mapping in CAT(0) space. Besides proving some convergence results, we provide a numerical example to illustrate our results. In this process, several existing results in literature are generalized and improved, in particular results of Ullah and Arshad [Journal of Linear and Topological Algebra, 2018] and Pandey et al. [Results in Mathematics, 2019].
CAT(0) spaces, Fixed point, $Delta$-convergence, generalized $alpha$-Reich-Suzuki nonexpansive mapping and Opial property.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/307956
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact