GENERALIZATIONS OF FIXED POINT THEOREMS FOR MULTIVALUED MAPS VIA Q-FUNCTIONS

In 1996 Kada, Suzuki and Takahashi defined the w-distance mappings on metric spaces and they proved fixed point theorems for w-distances. In 2008 Homidan, Ansari and Yao gave the Q-functions on quasi-metric space and they generalized the main results of Kada et al., since every w-distance is a Q-function. In 2011 Marin, Romaguera and Tirado introduced the generalization of Q-functions to T0 quasipseudometric spaces and they gave a new fixed point theorem for T0 quasipseudometric spaces by using Bianchini-Grandolfi gauge functions. In this paper the generalization of fixed point theorems for multivalued maps via Q-functions on complete T0 quasipseudometric spaces are investigated. Also, the conclusions related to previous theorems in this field are given.