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Fixed Point Theorems for Nonexpansive Mappings under Binary Relations
Journal article   Open access  Peer reviewed

Fixed Point Theorems for Nonexpansive Mappings under Binary Relations

Aftab Alam, Reny George, Mohammad Imdad and Md Hasanuzzaman
Mathematics (Basel), Vol.9(17), p.2059
01/09/2021
DOI: https://doi.org/10.3390/math9172059

Abstract

Mathematics Physical Sciences Science & Technology
In the present article, we establish relation-theoretic fixed point theorems in a Banach space, satisfying the Opial condition, using the R-Krasnoselskii sequence. We observe that graphical versions (Fixed Point Theory Appl. 2015:49 (2015) 6 pp.) and order-theoretic versions (Fixed Point Theory Appl. 2015:110 (2015) 7 pp.) of such results can be extended to a transitive binary relation.
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https://doi.org/10.3390/math9172059View
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