COINCIDENCE POINT AND HOMOTOPY RESULTS FOR f-HYBRID COMPATIBLE MAPS

Abstract

Common fixed point, coincidence point, and homotopy results are presented for single-valued as well as multivalued f-hybrid compatible generalized \phi-contractive maps defined on complete metric spaces and more general spaces called complete gauge spaces (i.e complete uniform spaces). Existence results of coincidence point for single-valued as well as multivalued f-hybrid compatible generalized \phi-contractive maps are discussed in arbitrary spaces.