Best proximity points for generalized $\alpha-\eta-\psi$-Geraghty proximal contraction mappings
Mathematica Moravica, Tome 21 (2017) no. 2.

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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.
Mots-clés : Best proximty point, $\alpha$-triangular proximal admissble with respect to $\eta$, generalized $\alpha-\eta-\psi$-Geraghty proximal contraction 
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     author = {K.K.M. Sarma and Yohannes Gebru},
     title = {Best proximity points for generalized $\alpha-\eta-\psi${-Geraghty} proximal contraction mappings},
     journal = {Mathematica Moravica},
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K.K.M. Sarma; Yohannes Gebru. Best proximity points for generalized $\alpha-\eta-\psi$-Geraghty proximal contraction mappings. Mathematica Moravica, Tome 21 (2017) no. 2. https://geodesic-test.mathdoc.fr/item/MM3_2017_21_2_a6/