On Existence and Uniqueness of -Best Proximity Points under -Contractivity Conditions and Consequences

Poom Kumam and Antonio Francisco Roldán López de Hierro

Abstract and Applied Analysis, 2014, vol. 2014, 1-14

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:234027

DOI: 10.1155/2014/234027

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