A Relation-Theoretic Formulation of Browder–Göhde Fixed Point Theorem
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In this paper, we introduce the concept of R-nonexpansive self-mappings defined on a suitable subset K of a Banach space, wherein R stands for a transitive binary relation on K, and utilize the same to prove a relation-theoretic variant of classical Browder–Göhde fixed point theorem. As consequences of our newly proved results, we are able to derive several core fixed-point theorems existing in the literature.
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2020 ◽
Vol 12
(2)
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pp. 227-244
2016 ◽
Vol 24
(2)
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2015 ◽
Vol 3
(2)
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pp. 173-182
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1986 ◽
Vol 9
(1)
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pp. 23-28
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2005 ◽
Vol 2005
(5)
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pp. 789-801
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