Some Generalized Contractive Mappings in Generalized Spaces

Abstract

In the following article we have introduced generalized multivalued- -contractive type mappings and multi-valued (;L)-weaklycontractive mappings in G-metric spaces and have established commonfixed point results for the concerned contractive mappings. We have alsoproved some coincidence point theorems for multivalued G--admissiblemappings and relations. Some examples are also included in the supportof these results.Our results can not be derived directly from fixed pointtheorems 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 toevaluate the solution of hyperbolic differential inclusio