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A CONVERSE TO THE PRINCIPLE OF CONTRACTING MAPS
Russian Mathematical Surveys, 1976In the paper we give an account of several versions of a converse to the principle of contracting maps. More exactly, we answer the question: under what conditions on an operator mapping a complete metric space into itself is there an equivalent metric in which the operator is contracting?
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On the Edelstein Contractive Mapping Theorem
Canadian Mathematical Bulletin, 1975AbstractLet X be a metrizable topological space and f:X→X a continuous selfmapping such that for every x ∈ X the sequence of iterates {fn(x)} converges. It is proved that under these conditions the following two statements are equivalent:1. There is a metrization of X relative to which f is contractive in the sense of Edelstein.2.
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Fixed Point Theory Using ψ Contractive Mapping in C ∗ -Algebra Valued B-Metric Space
Mathematics, 2021Saleh Omran, Quang N Nguyen
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On Predominantly Contractive Mappings
Journal of the London Mathematical Society, 1963openaire +2 more sources
Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings
Numerical Functional Analysis and Optimization, 2021Lakshmi Kanta Dey, Erdal Karapinar
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Interpolative Caristi type contractive mapping in an extended b-metric space
Journal of Analysis, 2021Mantu Saha, Kushal Roy
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A New Approach of Some Contractive Mappings on Metric Spaces
Mathematics, 2021Nicolae Adrian Secelean
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Existence and uniqueness of fixed point for contractive mapping of integral type
International Journal of Computing Science and Mathematics, 2013Vishal Gupta, Naveen Mani
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