Nonlinear Integral Inclusions Research Articles

Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions

Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions

Some Fixed Point Theorems for Multivalued Mappings in Banach Algebras and Application to Integral Inclusions

In this paper, we present new multivalued analogues of the krasnoselskii fixed point theorems, for the sum AB+C, where the operators A;B and C are D-set Lipcshitzian with respect to a measure of non-compactness which satisfies condition (m). Our results generalize, prove and extend well-known results in the literature. An application to solving non linear integral inclusion is given.

Multivalued nonlinear equations on the half line: A fixed point approach

New fixed point theorems of the authors are used to establish the existence of one (or more) C[0, ∞) solutions to the nonlinear integral inclusion y(t) ∈ ∫0∞ K(t, s) F(s, y(s)) ds for t ∈ [0, ∞).