Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces

Copyright © 2015 Watam Press. In this paper, we define a new class of set-valued mappings in a Hilbert space, called -hybrid. We prove some fixed point theorems for mappings in this class. Finally, we establish weak convergence of modified SP-iteration to a fixed point of -hybrid set- valued mapping...

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Main Authors:	Suthep Suantai, Withun Phuengrattana
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84943180141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54654
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-54654
record_format	dspace
spelling	th-cmuir.6653943832-546542018-09-04T10:19:42Z Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces Suthep Suantai Withun Phuengrattana Mathematics Copyright © 2015 Watam Press. In this paper, we define a new class of set-valued mappings in a Hilbert space, called -hybrid. We prove some fixed point theorems for mappings in this class. Finally, we establish weak convergence of modified SP-iteration to a fixed point of -hybrid set- valued mappings in Hilbert spaces. Our results extend many known recent results in the literature. 2018-09-04T10:19:42Z 2018-09-04T10:19:42Z 2015-01-01 Journal 12013390 2-s2.0-84943180141 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84943180141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54654
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Suthep Suantai Withun Phuengrattana Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
description	Copyright © 2015 Watam Press. In this paper, we define a new class of set-valued mappings in a Hilbert space, called -hybrid. We prove some fixed point theorems for mappings in this class. Finally, we establish weak convergence of modified SP-iteration to a fixed point of -hybrid set- valued mappings in Hilbert spaces. Our results extend many known recent results in the literature.
format	Journal
author	Suthep Suantai Withun Phuengrattana
author_facet	Suthep Suantai Withun Phuengrattana
author_sort	Suthep Suantai
title	Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
title_short	Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
title_full	Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
title_fullStr	Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
title_full_unstemmed	Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
title_sort	existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84943180141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54654
_version_	1681424360532869120

Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces

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