Best proximity point results in set-valued analysis | Zendy

Binayak S. Choudhury | Zendy; Pranati Maity | Zendy; Nikhilesh Metiya | Zendy

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Best proximity point results in set-valued analysis

Author(s) -

Binayak S. Choudhury,

Pranati Maity,

Nikhilesh Metiya

Publication year - 2016

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2016.3.1

Subject(s) - point (geometry) , set (abstract data type) , mathematics , algorithm , mathematical optimization , computer science , discrete mathematics , geometry , programming language

Here we introduce certain multivalued maps and use them to obtain minimum distance between two closed sets. It is a proximity point problem, which is treated here as a problem of finding global optimal solutions of certain fixed point inclusions. It is an application of setvalued analysis. The results we obtain here extend some results and are illustrated with examples. Applications are made to the corresponding single valued cases.

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