Multivalued Coupled Coincidence Point Results Using Admissibility
摘要
In this paper, we formulate and solve a coincidence point problem for a multivalued coupled mapping with a single-valued mapping satisfying some conditions which include a multivalued metric inequality, admissibility conditions, and some relaxed continuity conditions. All the above mentioned conditions are introduced herein. Coupled mapping has come into the limelight in recent times and has been extended in many directions. Use of MT function which has been used in our theorem has also wide applications accross different domains of fixed point theory. Admissability conditions have been used for restricting the scope of the metric inequality condition in the theorem which has greatly enhanced the applicability of these theorems. Moreover the results are used in the most general framework of metric spaces without any assumptions of additional structure on it. There are several consequences of the main results. We use an example to support our theorem. The research is in the domain of set value analysis.