Coincidence point theorems in some generalized metric spaces

Alexandru-Darius Filip

Abstract


Let \((X,d)\) be a complete dislocated metric space, \((Y,\rho)\) be a semimetric space and \(f,g:X\to Y\) be two mappings. We give some metric conditions which imply that the coincidence point set, \[C(f,g):=\{x\in X\ |\ f(x)=g(x)\}\not=\varnothing.\] Several coincidence point results are obtained for singlevalued and multivalued mappings.

Keywords


dislocated metric space; semimetric space; singlevalued and multivalued mapping; comparison function; comparison pair; lower semi-continuity; coincidence point displacement functional; pre-weakly Picard mapping

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DOI: http://dx.doi.org/10.24193/subbmath.2023.4.18

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