DOI: 10.24193/fpt-ro.2024.2.04

Authors: Cristian Chifu and Gabriela Petrușel

Abstract: The purpose of this paper is to give some fixed point results for multi-valued Feng-Liu contractions in b-metric spaces, as well in b-metric spaces endowed with a graph. We will provide existence and approximation theorems for generalized multi-valued Feng-Liu contraction. Data dependence, well-posedness and Ulam-Hyers stability for the fixed point inclusion are also studied. As an application to the coincidence problem for two multi-valued operators is given.

Key Words and Phrases: b-metric space, fixed point, multi-valued Feng-Liu contraction, existence and approximation theorem, data dependence, well-posedness, Ulam-Hyers stability, coincidence point problem.

2010 Mathematics Subject Classification: 47H10, 54H25.

Published on-line: June 15th, 2024.

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