An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

Sezgin Akbulut; Safeer H Khan; Murat Özdemir

doi:10.2478/v10309-012-0002-y

An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

Sezgin Akbulut
, Safeer H Khan
, Murat Özdemir

Mathematics and Statistics

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

2 Scopus citations

Abstract

In this paper, we introduce an iteration process for approximating common fixed points of two nonself asymptotically nonexpansive mappings in Banach spaces. Our process contains Mann iteration process and some other processes for nonself mappings but is independent of Ishikawa iteration process. We prove some weak and strong convergence theorems for this iteration process. Our results generalize and improve some results in contemporary literature.

Original language	English
Pages (from-to)	15-30
Number of pages	16
Journal	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volume	20
Issue number	1
DOIs	https://doi.org/10.2478/v10309-012-0002-y
State	Published - Jan 1 2012

Keywords

Common fixed point
Condition (A′)
Iteration process
Nonself asymptotically nonexpansive mapping
Weak and strong convergence

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10.2478/v10309-012-0002-y

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KW - Condition (A′)

KW - Iteration process

KW - Nonself asymptotically nonexpansive mapping

KW - Weak and strong convergence

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An iteration process for common fixed points of two nonself asymptotically nonexpansive mappings

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Keywords

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