On best proximity points for set-valued contractions of Nadler type with respect to \(b\)-generalized pseudodistances in \(b\)-metric spaces

DOI10.1186/1687-1812-2014-39zbMath1333.54048OpenAlexW2117731346WikidataQ59398505 ScholiaQ59398505MaRDI QIDQ2017374

Raobert Plebaniak

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-39

zbMATH Keywords

set-valued mapsNadler contractionbest proximity points\(b\)-metric spaces\(b\)-generalized pseudodistancesglobal optimal minimum

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Moore spaces (54E30)

Related Items

Some periodic and fixed point theorems on quasi-\(b\)-gauge spaces ⋮ Dynamic processes, fixed points, endpoints, asymmetric structures, and investigations related to Caristi, Nadler, and Banach in uniform spaces ⋮ Best proximity point theorem in quasi-pseudometric spaces ⋮ On regular semimetric spaces having strong triangle functions ⋮ Best proximity point theorems for weak contraction mapping in \(b\)-generalized pseudodistances ⋮ Global optimality results for multivalued non-self mappings in b-metric spaces ⋮ New existence of fixed point results in generalized pseudodistance functions with its application to differential equations ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^* ⋮ Multivalued SK-contractions with respect to \(b\)-generalized pseudodistances ⋮ Some existence of coincidence point and approximate solution method for generalizedweak contraction in b-generalized pseudodistance fiunctionsy

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