Title of article :
Solutions and Ulam-Hyers stability of differential inclusions involving Suzuki type multivalued mappings on b-metric spaces
Author/Authors :
Abbas ، Mujahid Department of Mathematics - Government College University , Ali ، Basit Department of Mathematics - University of Management and Technology , Nazir ، Talat Department of Mathematics - COMSATS University Islamabad , Dedović ، Nebojša M. Department of Agricultural Engineering - Faculty of Agriculture - University of Novi Sad , Bin-Mohsin ، Bandar Department of Mathematics - College of Science - King Saud University , Radenović ، Stojan N. Faculty of Mechanical Engineering - University of Belgrade
Abstract :
Introduction/purpose: This paper presents coincidence and common fixed points of Suzuki type (α⁎ ψ) - multivalued operators on b-metric spaces. Methods: The limit shadowing property was discussed as well as the wellposedness and the Ulam-Hyers stability of the solution for the fixed point problem of such operators. Results: The upper bound of the Hausdorff distance between the fixed point sets is obtained. Some examples are presented to support the obtained results. Conclusion: The application of the obtained results establishes the existence of differential inclusion.
Keywords :
b , metric space , multi , valued mapping , fixed point problems , Ulam , Hyers stability , initial value problem
Journal title :
Military Technical Courier
Journal title :
Military Technical Courier
