Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces

Hafiz Fukhar-ud-din; Abdul Rahim Khan; N Hussain

Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces

Hafiz Fukhar-ud-din, Abdul Rahim Khan, N Hussain

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307-310] is established both for Delta-convergence and strong convergence in CAT(0) spaces. (C) 2017 All rights reserved.

Original language	English
Journal	Journal of Nonlinear Science and Applications
State	Published - 2017

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title = "Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces",

abstract = "We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307-310] is established both for Delta-convergence and strong convergence in CAT(0) spaces. (C) 2017 All rights reserved.",

author = "Hafiz Fukhar-ud-din and Khan, \{Abdul Rahim\} and N Hussain",

year = "2017",

language = "English",

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TY - JOUR

T1 - Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces

AU - Fukhar-ud-din, Hafiz

AU - Khan, Abdul Rahim

AU - Hussain, N

PY - 2017

Y1 - 2017

N2 - We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307-310] is established both for Delta-convergence and strong convergence in CAT(0) spaces. (C) 2017 All rights reserved.

AB - We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307-310] is established both for Delta-convergence and strong convergence in CAT(0) spaces. (C) 2017 All rights reserved.

M3 - Article

SN - 2008-1898

JO - Journal of Nonlinear Science and Applications

JF - Journal of Nonlinear Science and Applications

ER -

Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces

Abstract

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