Application of Fixed Points in Differential Inclusions of Heat Conduction

Abstract

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