On d *-Complete Topological Spaces and Related Fixed Point Results

Zoran D. Mitrović, Ivan Aranđelović, Vesna Mišić, Hassen Aydi and Bessem Samet
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Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina
Ivan Aranđelović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11000 Beograd, Serbia
Vesna Mišić: Faculty of Transport and Traffic Engineering, University of East Sarajevo, Vojvode Mišića 52, 53000 Doboj, Bosnia and Herzegovina
Hassen Aydi: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
Bessem Samet: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2020, vol. 8, issue 9, 1-12

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 Taskovi?, ?iri? and Preši?, Preši?, Bryant, Marjanovi?, Yen, Caccioppoli, Reich and Bianchini.

Keywords: fixed point; b -metric space; d *-complete topological space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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