Some Common fixed points Theorems in an extended b_2-metric space via Admissible Mapping
Keywords:
Common Fixed points, Extended b_2-Metric Space, Orbital Cyclic- Admissible MappingAbstract
This paper examines the existence and the uniqueness of common fixed points for mappings that satisfy an (T, S) and (α, β)-orbital cyclic admissibility condition within the context of extended -metric spaces. The main theorem outlines the conditions necessary for common fixed points of a pair of self-mappings (T, S) under the admissibility criteria, which include a contractive-like condition involving α and β. Ultimately, the paper offers corollaries and illustrations for single-valued mappings, demonstrating how the established theory can be utilized in various contexts.
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