Document Zbl 1406.54026

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Best proximity point for generalized proximal weak contractions in complete metric space. (English) Zbl 1406.54026

J. Appl. Math. 2014, Article ID 150941, 6 p. (2014).

Summary: We introduce a new class of nonself-mappings, generalized proximal weak contraction mappings, and prove the existence and uniqueness of best proximity point for such mappings in the context of complete metric spaces. Moreover, we state an algorithm to determine such an optimal approximate solution designed as a best proximity point. We establish also an example to illustrate our main results. Our result provides an extension of the related results in the literature.

Cited in 5 Documents

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
54E40	Special maps on metric spaces
54E50	Complete metric spaces

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