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An optimization problem involving proximal quasi-contraction mappings
Journal article   Open access  Peer reviewed

An optimization problem involving proximal quasi-contraction mappings

Mohamed Jleli and Bessem Samet
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2014(1), pp.1-12
22/07/2014
DOI: https://doi.org/10.1186/1687-1812-2014-141

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Consider a non-self-mapping T : A -> B, where (A, B) is a pair of nonempty subsets of a metric space (X, d). In this paper, we study the existence and uniqueness of solutions to the global optimization problem min(X is an element of A) d(x, Tx), where T belongs to the class of proximal quasi-contraction mappings.
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https://doi.org/10.1186/1687-1812-2014-141View
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