First we introduce new concepts of contraction mappings, then we establish certain best proximity point theorems for such kind of mappings in metric spaces. Finally, as consequences of these results, we deduce best proximity point theorems in metric spaces endowed with a graph and in partially ordered metric spaces. Moreover, we present an example and some fixed point results to illustrate the usability of the obtained theorems.
|Number of pages||16|
|Journal||Fixed Point Theory and Applications|
|Publication status||Published - 2014|
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Applied Mathematics