Coincidence point theorems in some generalized metric spaces

Author:

,Filip Alexandru-DariusORCID

Abstract

"Let (X, d) be a complete dislocated metric space, (Y, ρ) be a semimetric space and f, g : X → Y be two mappings. 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, iterative approximation of coincidence point, weakly Picard mapping, pre-weakly Picard mapping."

Publisher

Babes-Bolyai University Cluj-Napoca

Reference10 articles.

1. "[1] Berinde, V., Iterative Approximation of Fixed Points, Springer, 2007.

2. [2] Berinde, V., Petrușel, A., Rus, I.A., Remarks on the terminology of the mappings in fixed point iterative methods, in metric spaces, Fixed Point Theory, 24(2023), no. 2, 525-540.

3. [3] Blumenthal, L.M., Theory and Applications of Distance Geometry, Oxford, 1953.

4. [4] Buică, A., Principii de coincidență și aplicații, Presa Universitară Clujeană, Cluj-Napoca, 2001.

5. 5] Filip, A.-D., Fixed Point Theory in Kasahara Spaces, Casa Cărții de Știință, Cluj- Napoca, 2015.

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