Some Generalized Contractive Mappings in Generalized Spaces

Abstract

In the following article we have introduced generalized multivalued α-ψ-contractive type mappings and multi-valued (θ, L)-weakly contractive mappings in G-metric spaces and have established common fixed point results for the concerned contractive mappings. We have also proved some coincidence point theorems for multivalued G-α-admissible mappings and relations. Some examples are also included in the support of these results.Our results can not be derived directly from fixed point theorems on metric or qusai-metric spaces as discussed by Jleli et al. in [21] and Azam et al. in [9]. An interesting application is also added to evaluate the solution of hyperbolic differential inclusion.