Some generalizations of b-metric spaces and corresponding fixed point results

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Published May 27, 2025

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Iqra Shereen
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Quanita Kiran
School of Electrical Engineering and Computer Sciences (SEECS), National University of Sciences and Technology (NUST), Sector H-$12$, Islamabad, Pakistan
Hassen Aydi
Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse 4000, Tunisia; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

The concepts of a complex-valued new extended b-metric space, a complex-valued new extended rectangular b-metric space and a new extended fuzzy rectangular b-metric space are utilized in finding the common fixed point results for some new generalized contractions. We extend and improve the conditions of contraction for the multi-valued mappings and a Banach-type contraction using Hadžić-type t-norms with strong Cauchy conditions.
 

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How to Cite
Shereen, I., Kiran, Q., & Aydi, H. (2025). Some generalizations of b-metric spaces and corresponding fixed point results. Acta Mathematica Universitatis Comenianae, 94(2), 105-133. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/2056/1072
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Issue
Vol 94 No 2 (2025): AMUC
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Articles