Geodesic
A new iteration process for approximation of fixed points of α − ψ−contractive type mappings in CAT(0) spaces
Filomat, Tome 35 (2021) no. 4, p. 1369

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DOI

In this paper we introduce a new iterative algorithm for approximating fixed points of α − ψ−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
DOI : 10.2298/FIL2104369A
Classification : 47H09, 47H10, 47J25
Keywords: iterative algorithm, CAT(0) space, 4-convergence, α − ψ−contractive type mapping 
Ali Abkar; Mojtaba Rastgoo; Liliana Guran. A new iteration process for approximation of fixed points of α − ψ−contractive type mappings in CAT(0) spaces. Filomat, Tome 35 (2021) no. 4, p. 1369 . doi: 10.2298/FIL2104369A
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     author = {Ali Abkar and Mojtaba Rastgoo and Liliana Guran},
     title = {A new iteration process for approximation of fixed points of \ensuremath{\alpha} \ensuremath{-} \ensuremath{\psi}\ensuremath{-}contractive type mappings in {CAT(0)} spaces},
     journal = {Filomat},
     pages = {1369 },
     year = {2021},
     volume = {35},
     number = {4},
     doi = {10.2298/FIL2104369A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2104369A/}
}
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