Geodesic
Some generalizations of b-metric spaces and corresponding fixed point results
Iqra Shereen1 ; Quanita Kiran2 ; Hassen Aydi3 ; Iqra Shereen ; Quanita Kiran ; Hassen Aydi
1Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
2School of Electrical Engineering and Computer Sciences (SEECS), National University of Sciences and Technology (NUST), Sector H-$12$, Islamabad, Pakistan
3Institut 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
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 2, pp. 105-133 
Iqra Shereen; Quanita Kiran; Hassen Aydi; Iqra Shereen; Quanita Kiran; Hassen Aydi. Some generalizations of b-metric spaces and corresponding fixed point results. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 2, pp. 105-133. http://geodesic.mathdoc.fr/item/AMUC_2025_94_2_a4/
@article{AMUC_2025_94_2_a4,
     author = {Iqra Shereen and Quanita Kiran and Hassen Aydi and Iqra Shereen and Quanita Kiran and Hassen Aydi},
     title = { Some generalizations of b-metric spaces and corresponding fixed point results},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {105--133},
     year = {2025},
     volume = {94},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_2_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.