6533b85ffe1ef96bd12c1d1b
RESEARCH PRODUCT
phi-Best proximity point theorems and applications to variational inequality problems
M. Sangurlu SezenCalogero VetroHüseyin Işıksubject
Pure mathematics0211 other engineering and technologies(F ?)-weak proximal contractionContext (language use)02 engineering and technologyvariational inequality01 natural sciencesmetric projection?-best proximity point(F ?) -proximal contractionSettore MAT/05 - Analisi Matematica(Fϕ)-proximal contractionphi-best proximity pointPoint (geometry)Uniqueness0101 mathematicsMathematics021103 operations research(F phi)-weak proximal contractionApplied Mathematics010102 general mathematicsMathematical analysispartial metric space(F phi)-proximal contractionProximal contractionMetric spaceModeling and SimulationVariational inequality(Fϕ )-weak proximal contractionGeometry and Topologydescription
The main concern of this study is to introduce the notion of $$\varphi $$ -best proximity points and establish the existence and uniqueness of $$\varphi $$ -best proximity point for non-self mappings satisfying $$(F,\varphi )$$ -proximal and $$(F,\varphi )$$ -weak proximal contraction conditions in the context of complete metric spaces. Some examples are supplied to support the usability of our results. As applications of the obtained results, some new best proximity point results in partial metric spaces are presented. Furthermore, sufficient conditions to ensure the existence of a unique solution for a variational inequality problem are also discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 |