Common Fixed Point Theorems Employing CLR Property In Sb-Metric Spaces

8 Jun

Authors: V. Sambasiva Rao, Lavanya Gadde

Abstract: In this paper, we establish a fixed point theorem for four pairwise self-mappings that are weakly compatible in an Sb-metric Space. The results are obtained by combining a contractive condition with the CLR-property of pairs of mappings. Furthermore, we demonstrate that the CLR-property is a more general concept than the (E.A.)-property. First, the CLR-property is employed to establish the existence of common coincidence points, and subsequently, common fixed points are derived using the weak compatibility of the mappings. The results obtained in this study extend and generalize several well-known results available in the existing literature.

DOI: http://doi.org/10.5281/zenodo.20584099