A fixed point theorem for a class of multi-valued continuously differentiable maps
Gilles Fournier, Donald Violette (1987)
Annales Polonici Mathematici
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Gilles Fournier, Donald Violette (1987)
Annales Polonici Mathematici
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Marián J. Fabián (1979)
Časopis pro pěstování matematiky
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Rhoades, B.E. (2010)
The Journal of Nonlinear Sciences and its Applications
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Josef Kolomý (1986)
Commentationes Mathematicae Universitatis Carolinae
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Durea, M. (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46A30, 54C60, 90C26. In this paper we prove two results of nonsmooth analysis involving the Fréchet subdifferential. One of these results provides a necessary optimality condition for an optimization problem which arise naturally from a class of wide studied problems. In the second result we establish a sufficient condition for the metric regularity of a set-valued map without continuity assumptions.
Ćirić, Ljubomir B. (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Hadžić, Olga, Ovcin, Zoran (1998)
Novi Sad Journal of Mathematics
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Abderrahim Jourani (1996)
Studia Mathematica
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We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.
Gadhi, N. (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 90C29; Secondary 90C30. In this work, we use the notion of Approximate Hessian introduced by Jeyakumar and Luc [19], and a special scalarization to establish sufficient optimality conditions for constrained multiobjective optimization problems. Throughout this paper, the data are assumed to be of class C^1, but not necessarily of class C^(1.1).
Ray, William O., Walker, Anita M. (1985)
International Journal of Mathematics and Mathematical Sciences
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Marwan Amin Kutbi, Wutiphol Sintunavarat (2016)
Open Mathematics
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The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive...