Best proximity points for generalized $\alpha-\eta-\psi$-Geraghty proximal contraction mappings


K.K.M. Sarma, Yohannes Gebru




In this paper, we introduce the new notion of generalized $\alpha-\eta-\psi$-Geraghty proximal contraction mappings and prove the existence of the best proximity point for such mappings in $\alpha-\eta$ complete metric spaces. We give an example to illustrate our result. Our result extends some of the results in the literature.