On Common Fixed Point of Non-Self Mappings Enjoys The T-Approximate Strict Fixed Point Property On the Boundary of Its Domains

In this work, the common T approximate strict fixed point property for multi-valued mappings F,G : X -> P_{cl,bd}(X) is introduced to prove necessary and sucient condition for existence of a common strict xed point of multi-valued mappings involved therein. Our results extend and unify comparable results in the existing literature. We also provide examples to support our results.  

Keywords:

Multi-valued mapping , common approximate T strict fixed point property , Common strict fixed point , Hausdorff metric.