Fixed points of discontinuous multivalued operators in ordered spaces with applications.
Hong, Shihuang, Qiu, Zheyong (2010)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Fixed points for discontinuous monotone operators.”
Fixed points of discontinuous multivalued operators in ordered spaces with applications.
On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
S. Carl, S. Heikkilä (1999)
Annales Polonici Mathematici
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We consider the existence of extremal solutions to second order discontinuous implicit ordinary differential equations with discontinuous implicit boundary conditions in ordered Banach spaces. We also study the dependence of these solutions on the data, and cases when the extremal solutions are obtained as limits of successive approximations. Examples are given to demonstrate the applicability of the method developed in this paper.
A note on nonlinear integral equations
Afaf Abou El-Fotouh Saleh Zaghrout, Z. M. M. Aly (1988)
Archivum Mathematicum
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Monotone technique for second order discontinuous differential inclusions.
Dhage, Bapurao C. (2006)
Applied Mathematics E-Notes [electronic only]
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Some fixed point theorems for multivalued maps in ordered Banach spaces and applications.
Chengbo, Zhai, Chen, Yang (2005)
International Journal of Mathematics and Mathematical Sciences
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Hybrid fixed point theory for right monotone increasing multi-valued mappings and neutral functional differential inclusions
Bapurao Chandra Dhage (2007)
Archivum Mathematicum
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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....