Title of article :
On Common Fixed Point of Non-Self Mappings Enjoys The T-Approximate Strict Fixed Point Property On the Boundary of Its Domains
Author/Authors :
Khojasteh ، Farshid Young Researcher and Elite Club - Islamic Azad University, Arak Branch , Abbas ، Mujahid Department of mathematics and applied mathematics - University of Pretoria
Abstract :
In this work, the common T− approximate strict fixed point property for multi-valued mappings F, G : X → Pcl,bd(X) is in troduced to prove necessary and sufficient condition for existence of a common strict fixed point of multi-valued mappings involved therein. Our results extend and unify comparable results in the existing litera ture. We also provide some examples and applications to support our results.
Keywords :
Multi , valued mapping , common approximate T− strict fixed point property , Common strict fixed point , Hausdorff metric
Journal title :
Mathematical Analysis and Convex Optimization
Journal title :
Mathematical Analysis and Convex Optimization
