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Best proximity point results in partially ordered metric spaces via simulation functions
Journal article   Open access  Peer reviewed

Best proximity point results in partially ordered metric spaces via simulation functions

Bessem Samet
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-15
23/12/2015
DOI: https://doi.org/10.1186/s13663-015-0484-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We obtain sufficient conditions for the existence and uniqueness of best proximity points for a new class of non-self mappings involving simulation functions in a metric space endowed with a partial order. Some interesting consequences including fixed point results via simulation functions are presented.
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https://doi.org/10.1186/s13663-015-0484-1View
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