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Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions
Archivum mathematicum, Tome 43 (2007) no. 4, pp. 265-284 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 (Dhage, B. C., A fixed point theorem for multivalued mappings on ordered Banach spaces with applications I, Nonlinear Anal. Forum 10 (2005), 105–126.) under weaker convexity conditions.
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 (Dhage, B. C., A fixed point theorem for multivalued mappings on ordered Banach spaces with applications I, Nonlinear Anal. Forum 10 (2005), 105–126.) under weaker convexity conditions.
Classification : 34A60, 34K40, 47A25, 47H10, 47N20
Keywords: ordered Banach space; hybrid fixed point theorem; neutral functional differential inclusion and existence theorem 
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Dhage, B. C. Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions. Archivum mathematicum, Tome 43 (2007) no. 4, pp. 265-284. http://geodesic.mathdoc.fr/item/ARM_2007_43_4_a4/

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