The existence theorems of an optimal approximate solution for generalized proximal contraction mappings

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Sintunavarat W., Kumam P.

Publisher: Hindawi

Publication year: 2013

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2013

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84884898618&doi=10.1155%2f2013%2f375604&partnerID=40&md5=42fa2cd1cb8f3e55ea7126081f9f2992

Languages: English-Great Britain (EN-GB)

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Abstract

Recently, Basha (2011) established the best proximity point theorems for proximal contractions of the first and second kinds which are extension of Banach's contraction principle in the case of non-self-mappings. The aim of this paper is to extend and generalize the notions of proximal contractions of the first and second kinds which are more general than the notion of self-contractions, establish the existence of an optimal approximate solution theorems for these non-self-mappings, and also give examples to validate our main results. ฉ 2013 Wutiphol Sintunavarat and Poom Kumam.

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