Hybrid Fixed Point Theory for Right Monotone Increasing Multi-valued Mappings and Neutral Functional Differential Inclusions

摘要

In this paper, some hybrid fixed point theorems for the right monotone increasing multi-valued mappings in ordered Banach spaces are proved via measure of noncompactness and they are further applied to the neutral functional nonconvex differential inclusions involving discontinuous multi-functions for proving the existence results under mixed Lipschitz, compactness and right monotonicity conditions. Our results improve the multi-valued hybrid fixed point theorems of Dhage [D4] under weaker convexity conditions