Application of Fixed Points in Differential Inclusions of Heat Conduction

Abstract

In this article some new fixed point and hybrid coincidence point theorems for multivalued mappings satisfying generalized contractive conditions have been proved in generalized metric spaces. Some nontrivial examples are given to support our main theorems. As application, a differential inclusion problem for heat conduction in metals has been given, using our main result, we prove the existence of solutions to the given differential inclusion problem.