SOME NEW RESULTS FOR REICH TYPE MAPPINGS ON CONE b-METRIC SPACES OVER BANACH ALGEBRAS

Jelena Vujaković; Abba Auwalu; Vesna Šešum-Čavić

doi:10.5937/univtho8-18216

Jelena Vujaković University of Pristina, Faculty of Sciences and Mathematics, Kosovska Mitrovica
Abba Auwalu Faculty of Sciences and Arts, Near East University, Nicosia, Turkey
Vesna Šešum-Čavić Vienna University of Technology, Austria

DOI: https://doi.org/10.5937/univtho8-18216

Keywords: Cone b-metric space, Banach algebra, α-admissible mapping, α-regular, Fixed point, c-sequence,

Abstract

The main purpose of this paper is to present some fixed point results concerning the generalized Reich type α-admissible mappings in cone b-metric spaces over Banach algebras. Our results are significant extensions and generalizations of resent results of N. Hussain at al. (2017) and many well-known results in abundant literature. We also gave an example that confirmed our results.

Author Biographies

Jelena Vujaković, University of Pristina, Faculty of Sciences and Mathematics, Kosovska Mitrovica

Department of mathematics

Abba Auwalu, Faculty of Sciences and Arts, Near East University, Nicosia, Turkey

Department of Mathematics

Vesna Šešum-Čavić, Vienna University of Technology, Austria

Institute of Computer Languages

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