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:	Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84943180141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/44631
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-44631
record_format	dspace
spelling	th-cmuir.6653943832-446312018-04-25T07:54:16Z Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces Suthep Suantai Withun Phuengrattana Agricultural and Biological Sciences 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. 2018-01-24T04:45:50Z 2018-01-24T04:45:50Z 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/6653943832/44631
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Agricultural and Biological Sciences
spellingShingle	Agricultural and Biological Sciences 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/6653943832/44631
_version_	1681422595111518208

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

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