Existence results for general inequality problems with constraints.
Dincă, George, Jebelean, Petru, Motreanu, Dumitru (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Coercivity of set-valued mappings on metric spaces.”
Existence results for general inequality problems with constraints.
A Note on Coercivity of Lower Semicontinuous Functions and Nonsmooth Critical Point Theory
Corvellec, J. (1996)
Serdica Mathematical Journal
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The first motivation for this note is to obtain a general version of the following result: let E be a Banach space and f : E → R be a differentiable function, bounded below and satisfying the Palais-Smale condition; then, f is coercive, i.e., f(x) goes to infinity as ||x|| goes to infinity. In recent years, many variants and extensions of this result appeared, see [3], [5], [6], [9], [14], [18], [19] and the references therein. A general result of this type was given in [3, Theorem 5.1]...
A version of Zhong's coercivity result for a general class of nonsmooth functionals.
Motreanu, D., Motreanu, V.V., Paşca, D. (2002)
Abstract and Applied Analysis
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A minimization theorem in quasi-metric spaces and its applications.
Ume, Jeong Sheok (2002)
International Journal of Mathematics and Mathematical Sciences
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Multi-valued contraction mappings in complete metric spaces
Kiyoshi Iseki (1975)
Rendiconti del Seminario Matematico della Università di Padova
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Generalized Caristi's fixed point theorems.
Latif, Abdul (2009)
Fixed Point Theory and Applications [electronic only]
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Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions.
Frigon, M. (2010)
Fixed Point Theory and Applications [electronic only]
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Local expansions and accretive mappings.
Kirk, W.A. (1983)
International Journal of Mathematics and Mathematical Sciences
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Point-valued mappings of sets.
Insall, Matt (1995)
International Journal of Mathematics and Mathematical Sciences
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A Certain Class Of Maps And Fixed Point Theorems
Ljubomir Ćirić (1976)
Publications de l'Institut Mathématique
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Variational-like inclusions and resolvent equations involving infinite family of set-valued mappings.
Ahmad, Rais, Dilshad, Mohd (2011)
Fixed Point Theory and Applications [electronic only]
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Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces
Janusz Matkowski, Małgorzata Wróbel (2012)
Open Mathematics
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We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function.
Discontinuous quasilinear elliptic problems at resonance
Nikolaos Kourogenis, Nikolaos Papageorgiou (1998)
Colloquium Mathematicae
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In this paper we study a quasilinear resonant problem with discontinuous right hand side. To develop an existence theory we pass to a multivalued version of the problem, by filling in the gaps at the discontinuity points. We prove the existence of a nontrivial solution using a variational approach based on the critical point theory of nonsmooth locally Lipschitz functionals.