The main concern of this study is to introduce the notion of ϕ-best proximity points and establish the existence and uniqueness of ϕ-best proximity point for non-self mappings satisfying (F,ϕ)-proximal and (F,ϕ)-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.
Isik, H., Sezen, M., Vetro, C. (2017). φ-Best proximity point theorems and applications to variational inequality problems. JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS, 19(4), 3177-3189 [10.1007/s11784-017-0479-0].
φ-Best proximity point theorems and applications to variational inequality problems
Vetro, Calogero
2017-01-01
Abstract
The main concern of this study is to introduce the notion of ϕ-best proximity points and establish the existence and uniqueness of ϕ-best proximity point for non-self mappings satisfying (F,ϕ)-proximal and (F,ϕ)-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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
2017_JFPTA_IsikSezenVetro.pdf
Solo gestori archvio
Descrizione: Articolo principale
Dimensione
488.62 kB
Formato
Adobe PDF
|
488.62 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
