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

Author

Listed:
  • 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
    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)

  • Bessem Samet

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

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.

Suggested Citation

  • Zoran D. Mitrović & Ivan Aranđelović & Vesna Mišić & Hassen Aydi & Bessem Samet, 2020. "On d *-Complete Topological Spaces and Related Fixed Point Results," Mathematics, MDPI, vol. 8(9), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1447-:d:405779
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    References listed on IDEAS

    as
    1. Troy L. Hicks, 1992. "Fixed point theorems for d -complete topological spaces I," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-5, January.
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