Open AccessA new iteration process for approximation of fixed points of α-ψ-contractive type mappings in CAT(0) spaces
Author(s) -
Ali Abkar,
Mojtaba Rastgoo,
Liliana Guran
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2104369a
Subject(s) - mathematics , fixed point , complement (music) , convergence (economics) , type (biology) , fixed point theorem , discrete mathematics , pure mathematics , mathematical analysis , ecology , biochemistry , chemistry , complementation , biology , economics , gene , phenotype , economic growth
In this paper we introduce a new iterative algorithm for approximating fixed points of ?-?-contractive type mappings in CAT(0) spaces. We prove a ?-convergence theorem under suitable conditions. The result we obtain improves and extends several recent results stated by many others; they also complement many known recent results in the literature. We then provide some numerical examples to illustrate our main result and to display the efficiency of the proposed algorithm.