Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces

Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces

In this paper, we study three-step iteration process for Ciric-quasi contractive operator and establish strong convergence theorems for above mentioned operator and schemes in the setting of CAT(0) spaces. Our result extends and generalizes some previous work from the existing literature (see, e.g.,...

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Main Author: Saluja Gurucharan S.
Format: Article
Language:English
Published: Sciendo 2015-10-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
ciric-quasi contractive operator
three-step iteration scheme
fixed point
strong convergence
cat(0) space
Online Access:https://doi.org/10.1515/ausm-2015-0006
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spelling doaj-281905e00f3e4d8bbce90a78bc04c98f2021-09-06T19:40:20ZengSciendoActa Universitatis Sapientiae: Mathematica2066-77522015-10-01718910510.1515/ausm-2015-0006ausm-2015-0006Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spacesSaluja Gurucharan S.0Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492001 (C.G.), IndiaIn this paper, we study three-step iteration process for Ciric-quasi contractive operator and establish strong convergence theorems for above mentioned operator and schemes in the setting of CAT(0) spaces. Our result extends and generalizes some previous work from the existing literature (see, e.g., [4, 30] and some others).https://doi.org/10.1515/ausm-2015-0006ciric-quasi contractive operatorthree-step iteration schemefixed pointstrong convergencecat(0) space
collection DOAJ
language English
format Article
sources DOAJ
author Saluja Gurucharan S.
spellingShingle Saluja Gurucharan S.
Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces
Acta Universitatis Sapientiae: Mathematica
ciric-quasi contractive operator
three-step iteration scheme
fixed point
strong convergence
cat(0) space
author_facet Saluja Gurucharan S.
author_sort Saluja Gurucharan S.
title Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces
title_short Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces
title_full Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces
title_fullStr Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces
title_full_unstemmed Convergence of three-step iterations for Ciric-quasi contractive operator in CAT(0) spaces
title_sort convergence of three-step iterations for ciric-quasi contractive operator in cat(0) spaces
publisher Sciendo
series Acta Universitatis Sapientiae: Mathematica
issn 2066-7752
publishDate 2015-10-01
description In this paper, we study three-step iteration process for Ciric-quasi contractive operator and establish strong convergence theorems for above mentioned operator and schemes in the setting of CAT(0) spaces. Our result extends and generalizes some previous work from the existing literature (see, e.g., [4, 30] and some others).
topic ciric-quasi contractive operator
three-step iteration scheme
fixed point
strong convergence
cat(0) space
url https://doi.org/10.1515/ausm-2015-0006
work_keys_str_mv AT salujagurucharans convergenceofthreestepiterationsforciricquasicontractiveoperatorincat0spaces
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