A generalized metric space and related fixed point theorems

Mohamed Jleli1, Bessem Samet1
1Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia#TAB#

Tóm tắt

AbstractWe introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodríguez-López. This new concept of generalized metric spaces recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.

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