The main concern of this study is to introduce the notion of ϕ-best proximity points and establish the existence and uniqueness ofϕ-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.
|Number of pages||13|
|Journal||JOURNAL OF FIXED POINT THEORY AND ITS APPLICATIONS|
|Publication status||Published - 2017|
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Geometry and Topology
- Applied Mathematics