Geodesic
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.

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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.
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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     author = {Dhage, B. C.},
     title = {Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions},
     journal = {Archivum mathematicum},
     pages = {265--284},
     publisher = {mathdoc},
     volume = {43},
     number = {4},
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     mrnumber = {2378527},
     zbl = {1164.47056},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2007__43_4_a4/}
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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/