Abstract

In this paper, we use an inequality involving a coupled multivalued mapping and a singlevalued mapping to obtain a coupled coincidence point theorem. We discuss special conditions under which coupled common fixed point theorems are obtained. The result combines several ideas prevalent in fixed point theory studies. There are several corollaries and illustrative examples. The Hausdorff-Pompeiu metric between sets is used. The work is in the context of metric spaces and is a part of set-valued analysis with the singlevalued consequences.

Keywords: Metric space; Hausdorff-Pompeiu distance; MT - functions; coupled coincidence point; coupled common fixed point.

MSC: 54H10, 54H25, 47H10

DOI: 10.57016/MV-SY1R1F12

Pages:  286$-$295     

Volume  75 ,  Issue  4 ,  2023