DOI: 10.3390/axioms15060463 ISSN: 2075-1680
Fixed-Point Results for Ćirić Contraction Mappings in Strong b-Metric Spaces
Saud M. Alsulami, Thanaa A. AlarfajIn this paper, we begin with a brief overview of quasi-contraction mappings in metric spaces and their extensions to b-metric spaces and strong b-metric spaces. We then work in the framework of strong b-metric spaces and establish new fixed-point theorems for κ-multi-valued quasi-contraction mappings. Our results extend and unify several existing fixed-point theorems in the literature. Finally, we present an application to the existence of solutions for a nonlinear integral equation, illustrating the applicability of the obtained results.