Abstract

In this paper, we introduce the concept of d*-complete topological spaces, which include earlier defined classes of complete metric spaces and quasi b-metric spaces. Further, we prove some fixed point results for mappings defined on d*-complete topological spaces, generalizing earlier results of Tasković, Ćirić and Prešić, Prešić, Bryant, Marjanović, Yen, Caccioppoli, Reich and Bianchini.

Highlights

  • In 1920 in his PhD. dissertation, S

  • We introduce the concept of d∗ -complete topological spaces and prove that these include earlier defined classes of complete metric spaces and quasi b-metric spaces

  • We prove some fixed point results for mappings defined on d∗ -complete topological spaces which generalize earlier results of M

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Summary

Fixed Point Results

Mitrović 1, *, Ivan Arandelović 2 , Vesna Mišić 3 , Hassen Aydi 4,5,6, * and Bessem Samet 7. Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam. China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

Introduction
Preliminaries
Quasi b-Metric Spaces
Main Results
Conclusions
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