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• W2140151765 abstract "Best proximity point theorems unravel the techniques for determining an optimal approximate solution, designated as a best proximity point, to the equation Tx = x which is likely to have no solution when T is a non-self mapping. This article presents best proximity point theorems for new classes of non-self mappings, known as generalized proximal contractions, in the setting of metric spaces. Further, the famous Banach's contraction principle and some of its generalizations and variants are realizable as special cases of the aforesaid best proximity point theorems. Mathematics Subject Classification: 41A65; 46B20; 47H10." @default.
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• W2140151765 date "2012-03-16" @default.
• W2140151765 modified "2023-09-23" @default.
• W2140151765 title "Best proximity point theorems for generalized proximal contractions" @default.
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• W2140151765 doi "https://doi.org/10.1186/1687-1812-2012-42" @default.
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