DOI: 10.5937/matmor2601103k ISSN: 1450-5932
Best proximity point results for p-semi-cyclic contraction pair in Banach spaces
Sharma Kumar, Manjari Dewangan, M.P. GoswamiIn the present work, we extend the semi-cyclic contraction conditions established by Gabeleh and Abkar [9] by introducing the concept of a p-semi-cyclic contraction for a pair of mappings (S,T) on the union of p(≥ 2) nonempty subsets in a Banach space. In the sequel, we establish several fundamental results, including existence and convergence theorems for best proximity points corresponding to the pair (S,T). Additionally, illustrative examples are provided to support our findings.