Proximity Coincidence Points for a Pair of Maps with Three Auxiliary Functions in Partially Ordered Metric Spaces

Abstract

In this paper, we establish proximity coincidence point results using three auxiliary functions,

which need not be continuous, in partially ordered metric spaces for a pair of maps. We also

discuss several corollaries and give illustrative examples in support of our results. The results

presented in this paper generalize the results of Wangkeeree and Sisarat [17].

Keywords

• proximity coincidence point,proximally increasing map,best proximity point,partially ordered set

References

1. [1] Abkar, A. and Gabeleh, M.,“ Global optimal solutions of noncyclic mappings in metric spaces,” J. Optim. Theory Appl. 153, 298–305, (2012).