The existence theorems of an optimal approximate solution for generalized proximal contraction mappings (Q2015426)
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scientific article; zbMATH DE number 6306706
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| English | The existence theorems of an optimal approximate solution for generalized proximal contraction mappings |
scientific article; zbMATH DE number 6306706 |
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The existence theorems of an optimal approximate solution for generalized proximal contraction mappings (English)
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23 June 2014
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Summary: 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.
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