Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space | Zendy

Erdal Karapınar | Zendy; V. Pragadeeswarar | Zendy; M. Marudai | Zendy

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Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space

Author(s) -

Erdal Karapınar,

V. Pragadeeswarar,

M. Marudai

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/150941

Subject(s) - uniqueness , metric space , mathematics , contraction (grammar) , extension (predicate logic) , point (geometry) , metric (unit) , context (archaeology) , class (philosophy) , complete metric space , space (punctuation) , pure mathematics , discrete mathematics , mathematical analysis , computer science , geometry , artificial intelligence , medicine , paleontology , operations management , economics , biology , programming language , operating system

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

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