6533b826fe1ef96bd1285140

RESEARCH PRODUCT

Best approximation and variational inequality problems involving a simulation function

Fairouz TchierCalogero VetroFrancesca Vetro

subject

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

description

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.

yearjournalcountryeditionlanguage
2016-03-09
10.1186/s13663-016-0512-9http://hdl.handle.net/10447/177859