BEST PROXIMITY POINTS FOR NEW TYPE OF SET-VALUED MAPPINGS

摘要

The concept of a proximal contraction for single-valued mapping, established by Basha [3], was extended in many directions. However, there are not any extensions concerning set-valued mappings. So, in this paper, we introduce a new concept of a proximal contraction for non-self set-valued mapping and prove the existence of a best proximity point for such mappings under certain conditions. We also give an example to support our main results.