Some results for one class of discontinuous operators with fixed points.
Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Morales, R., Rojas, E. (2007)
Acta Mathematica Universitatis Comenianae. New Series
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Suslov, S.I. (2000)
Siberian Mathematical Journal
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Francesco Saverio De Blasi, Giulio Pianigiani (1999)
Commentationes Mathematicae Universitatis Carolinae
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We study a Cauchy problem for non-convex valued evolution inclusions in non separable Banach spaces under Filippov type assumptions. We establish existence and relaxation theorems.
Guedda, L., Hallouz, A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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John W. Lee, Donal O'Regan (1993)
Commentationes Mathematicae Universitatis Carolinae
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This paper presents existence results for initial and boundary value problems for nonlinear differential equations in Banach spaces.
Gilles Godefroy, V. Indumathi (2001)
Revista Matemática Complutense
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In any dual space X*, the set QP of quasi-polyhedral points is contained in the set SSD of points of strong subdifferentiability of the norm which is itself contained in the set NA of norm attaining functionals. We show that NA and SSD coincide if and only if every proximinal hyperplane of X is strongly proximinal, and that if QP and NA coincide then every finite codimensional proximinal subspace of X is strongly proximinal. Natural examples and applications are provided.
Alimohammady, M., Shahmari, A. (2009)
The Journal of Nonlinear Sciences and its Applications
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El-Sayed, A.M.A., Hashem, H.H.G. (2009)
The Journal of Nonlinear Sciences and its Applications
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