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Fixed Point Problems on Generalized Metric Spaces in Perov’s Sense

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Department of Pharmaceutical Sciences, “Vasile Goldiş” Western University of Arad, L. Rebreanu Street, No. 86, 310048 Arad, Romania
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Department of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No. 1, 400084 Cluj-Napoca, Romania
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Department of Mathematics, GC University Lahore, Katchery Road, Lahore 54000, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(5), 856; https://doi.org/10.3390/sym12050856
Received: 9 March 2020 / Revised: 20 April 2020 / Accepted: 6 May 2020 / Published: 22 May 2020
The aim of this paper is to give some fixed point results in generalized metric spaces in Perov’s sense. The generalized metric considered here is the w-distance with a symmetry condition. The operators satisfy a contractive weakly condition of Hardy–Rogers type. The second part of the paper is devoted to the study of the data dependence, the well-posedness, and the Ulam–Hyers stability of the fixed point problem. An example is also given to sustain the presented results. View Full-Text
Keywords: fixed point; coupled fixed points; Perov space; generalized w-distance; Ulam–Hyers stability; well-posedness; data dependence fixed point; coupled fixed points; Perov space; generalized w-distance; Ulam–Hyers stability; well-posedness; data dependence
MDPI and ACS Style

Guran, L.; Bota, M.-F.; Naseem, A. Fixed Point Problems on Generalized Metric Spaces in Perov’s Sense. Symmetry 2020, 12, 856.

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