Approximating common fixed points of (a,b)-monotone and nonexpansive mappings in hilbert spaces

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Mongkolkeha C., Cho Y.J., Kumam P.

Publisher: Yokohama Oublishers

Publication year: 2015

Journal: Journal of Nonlinear and Convex Analysis (1345-4773)

Volume number: 16

Issue number: 9

Start page: 1817

End page: 1833

Number of pages: 17

ISSN: 1345-4773

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84946027812&partnerID=40&md5=8e50906c64a066d74d331b2ff9341cad

Languages: English-Great Britain (EN-GB)

Abstract

In this paper, we prove weak and strong convergence theorems for Moudafi's iterative scheme including (a,b)-monotone and nonexpansive mappings in Hilbert spaces and give some examples to illustrate our main results. The results in this paper improve and extend the recent results of Iemoto and Takahashi, Lin and Wang and some others.

Keywords

(a, b)-monotone mappings, hybrid mappings, Nonexpansive mappings, Nonspreading mappings, TY-mappings