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Optimal Approximate Solution for (α,β )γ-Contraction Mappings in Metric Spaces with Applications |
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PP: 507-518 |
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doi:10.18576/amis/100212
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Author(s) |
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Chirasak Mongkolkeha,
Wutiphol Sintunavarat,
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Abstract |
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| In this paper, we extend the concept of generalized proximal contractions of the first kind to proximal (a,b )y -contractions
types A and B. We show with examples that our new classes of mappings is real generalization of many known classes of non-self and
self mappings in literature. We also introduce some condition for proving the best proximity point theorems in such classes. Applying
our new concepts, we obtain best proximity point results on metric spaces endowed with an arbitrary binary relation and metric spaces
endowed with graph. |
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