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Some Krasnosel'skii-type fixed point theorems for Meir-Keeler-type mappings
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modelling Phys & Cognit Sci)
Iran Univ Sci & Technol, Iran.
Univ Belgrade, Serbia.
2020 (English)In: Nonlinear Analysis: Modelling and Control, ISSN 1392-5113, E-ISSN 2335-8963, Vol. 25, no 2, p. 257-265Article in journal (Refereed) Published
Abstract [en]

In this paper, inspired by the idea of Meir-Keeler contractive mappings, we introduce Meir-Keeler expansive mappings, say MKE, in order to obtain Krasnosel'skii-type fixed point theorems in Banach spaces. The idea of the paper is to combine the notion of Meir-Keeler mapping and expansive Krasnosel'skii fixed point theorem. We replace the expansion condition by the weakened MKE condition in some variants of Krasnosel'skii fixed point theorems that appear in the literature, e.g., in [T. Xiang, R. Yuan, A class of expansive-type Krasnosel'skii fixed point theorems, Nonlinear Anal., Theory Methods Appl., 71(7-8):3229-3239, 2009].

Place, publisher, year, edition, pages
Vilnius university , 2020. Vol. 25, no 2, p. 257-265
Keywords [en]
Meir-Keeler expansive, Meir-Keeler contractive, Krasnosel'skii fixed point theorem
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-93141DOI: 10.15388/namc.2020.25.16516ISI: 000518393600006Scopus ID: 2-s2.0-85081205960OAI: oai:DiVA.org:lnu-93141DiVA, id: diva2:1416979
Available from: 2020-03-26 Created: 2020-03-26 Last updated: 2021-05-07Bibliographically approved

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Pourhadi, Ehsan

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