Search results for "Z-contraction"

showing 2 items of 2 documents

Best approximation and variational inequality problems involving a simulation function

2016

We prove the existence of a g-best proximity point for a pair of mappings, by using suitable hypotheses on a metric space. Moreover, we establish some convergence results for a variational inequality problem, by using the variational characterization of metric projections in a real Hilbert space. Our results are applicable to classical problems of optimization theory.

Applied Mathematics010102 general mathematicsMathematical analysisHilbert spacebest proximity pointFunction (mathematics)variational inequality01 natural sciencesmetric projectionConvex metric space010101 applied mathematicssymbols.namesakeMetric spaceDifferential geometrySettore MAT/05 - Analisi MatematicaVariational inequalityMetric (mathematics)proximal Z-contractionsymbolsApplied mathematicsContraction mappingGeometry and TopologySettore MAT/03 - Geometria0101 mathematicsMathematics
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An alternative and easy approach to fixed point results via simulation functions

2017

Abstract We discuss, extend, improve and enrich results on simulation functions established by several authors. Furthermore, by using Lemma 2.1 of Radenovic et al. [Bull. Iran. Math. Soc., 2012, 38, 625],we get much shorter and nicer proofs than the corresponding ones in the existing literature.

Mathematical optimizationWeakly compatibleGeneral Mathematicsweakly compatiblelcsh:Mathematics010102 general mathematics54C30common fixed pointFixed pointlcsh:QA1-93901 natural sciencesZ-contraction010101 applied mathematicspoint of coincidence54H25Simulation functionCommon fixed pointApplied mathematics0101 mathematicsα-admissible Z-contraction47H10MathematicsDemonstratio Mathematica
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