On Existence and Uniqueness of g‐Best Proximity Points under (φ, θ, α, g)‐Contractivity Conditions and Consequences

Poom Kumam and Antonio Francisco Roldán López de Hierro

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We collect, improve, and generalize very recent results due to Mongkolkeha et al. (2014) in three directions: firstly, we study g‐best proximity points; secondly, we employ more general test functions than can be found in that paper, which lets us prove best proximity results using different kinds of control functions; thirdly, we introduce and handle a weak version of the P‐property. Our results can also be applied to the study of coincidence points between two mappings as a particular case. As a consequence, the contractive condition we introduce is more general than was used in the mentioned paper.

Date: 2014
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https://doi.org/10.1155/2014/234027

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:234027

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