Best approximation and variational inequality problems involving a simulation function
- Autori: Tchier, F.; Vetro, C.; Vetro, F.
- Anno di pubblicazione: 2016
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: best proximity point; metric projection; proximal Z-contraction; variational inequality;
- OA Link: http://hdl.handle.net/10447/177859
Abstract
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.