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Best proximity point of generalized \(F\)-proximal non-self contractions. (English) Zbl 07402315

Summary: In this paper, we introduce the concept of generalized \(F\)-proximal contraction mappings and prove some best proximity point theorems for a non-self mapping in a complete metric space. Then some of the well-known results in the existing literature are generalized/extended using these newly obtained results. An example is being given to demonstrate the usefulness of our results.

MSC:

47H10 Fixed-point theorems
54H25 Fixed-point and coincidence theorems (topological aspects)
Full Text: DOI

References:

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