A Common Fixed Point Theorem For Generalized Contraction Pair Of Sefmaps In B-Metric Spaces

This paper establishes a common fixed point theorem for a pair of self-maps satisfying a generalized contraction
condition in the framework of b-metric spaces. Unlike traditional metric spaces, b-metric spaces allow a relaxation
of the triangle inequality, enabling the study of a broader class of spaces such as ℓ 𝑞 and 𝑀 𝑞 [0,1] for 0 < 𝑞 < 1 .
Motivated by recent developments in fixed point theory, particularly those involving generalized Ciric-type
contractions, we introduce a novel contraction criterion and investigate the existence and uniqueness of common
fixed points under this setting. The analytical techniques adopted for the successful completion of this study
are based on the methods of Sarwar and Rahman, and Roshan et al. Our results extend and unify several
existing fixed point theorems in the literature, offering new insights into the structure of mappings in generalized
metric-type spaces. Examples are provided to demonstrate the applicability of the main theorem.