Common fixed-point results in uniformly convex Banach spaces

Common fixed-point results in uniformly convex Banach spaces

We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping s...

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Main Authors: Naknimit Akkasriworn, Annop Kaewkhao, Attapol Keawkhao, Kritsana Sokhuma
Format: Journal
Published: 2018
Subjects:
Mathematics
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896278387&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51819
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-518192018-09-04T06:09:38Z Common fixed-point results in uniformly convex Banach spaces Naknimit Akkasriworn Annop Kaewkhao Attapol Keawkhao Kritsana Sokhuma Mathematics We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping satisfying condition (K) and a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0, 1). © 2012 Akkasriworn et al.; licensee Springer. 2018-09-04T06:09:38Z 2018-09-04T06:09:38Z 2012-01-01 Journal 16871812 16871820 2-s2.0-84896278387 10.1186/1687-1812-2012-171 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896278387&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51819
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Naknimit Akkasriworn
Annop Kaewkhao
Attapol Keawkhao
Kritsana Sokhuma
Common fixed-point results in uniformly convex Banach spaces
description We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping satisfying condition (K) and a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0, 1). © 2012 Akkasriworn et al.; licensee Springer.
format Journal
author Naknimit Akkasriworn
Annop Kaewkhao
Attapol Keawkhao
Kritsana Sokhuma
author_facet Naknimit Akkasriworn
Annop Kaewkhao
Attapol Keawkhao
Kritsana Sokhuma
author_sort Naknimit Akkasriworn
title Common fixed-point results in uniformly convex Banach spaces
title_short Common fixed-point results in uniformly convex Banach spaces
title_full Common fixed-point results in uniformly convex Banach spaces
title_fullStr Common fixed-point results in uniformly convex Banach spaces
title_full_unstemmed Common fixed-point results in uniformly convex Banach spaces
title_sort common fixed-point results in uniformly convex banach spaces
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896278387&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51819
_version_ 1681423838660788224

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