Results 11 to 20 of about 336 (182)
Lower Semicontinuous Convex Relaxation in Optimization
SIAM Journal on Optimization, 2013 We relate the argmin sets of a given function, not necessarily convex or lower semicontinuous, and its lower semicontinuous convex hull by means of explicit characterizations involving an appropriate concept of asymptotic functions. This question is connected to the subdifferential calculus of the Legendre--Fenchel conjugate function.
Rafael Correa, Abderrahim Hantoute
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Abstract and Applied Analysis, 2003 We give a new approach to study the lower semicontinuity properties of nonautonomous variational integrals whose energy densities satisfy general growth conditions.
Barbara Bianconi
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Abstract and Applied Analysis, 2011 We present a decomposition of two topologies which characterize the upper and lower semicontinuity of the limit function to visualize their hidden and opposite roles with respect to the upper and lower semicontinuity and consequently the continuity of ...
Agata Caserta
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On Well-Posedness of Some Constrained Variational Problems
Mathematics, 2021 By considering the new forms of the notions of lower semicontinuity, pseudomonotonicity, hemicontinuity and monotonicity of the considered scalar multiple integral functional, in this paper we study the well-posedness of a new class of variational ...
Savin Treanţă
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Epi-lower semicontinuous mappings and their properties (in Ukrainian) [PDF]
Математичні Студії, 2011 We present a new concept of lower semicontinuity for vector-valued mappings, so-called lower epi-semicontinuity, which is closely related with the sequential closedness of epigraphs of these mappings. We consider the case when the mappings take values in
A. V. Dovzhenko, P. I. Kogut
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Topological aspects in vector optimization problems
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2009 In this paper, we study vector optimization problems in partially ordered Banach spaces. We suppose that an objective mapping possesses a weakened property of lower semicontinuity and make no assumptions on the interior of the ordering cone.
P. I. Kogut, R. Manzo, I. V. Nechay
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Characterization of lower semicontinuous convex functions [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that a lower semicontinuous function defined on a reflexive Banach space is convex if and only if its Clarke subdifferential is monotone.
Correa, R., Jofré, A., Thibault, L.
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A New Extension of Serrin's Lower Semicontinuity Theorem
Abstract and Applied Analysis, 2013 We present a new extension of Serrin's lower semicontinuity theorem. We prove that the variational functional defined on is lower semicontinuous with respect to the strong convergence in , under the assumptions that the integrand has the locally ...
Xiaohong Hu, Shiqing Zhang
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On separation axioms of uniform bundles and sheaves
Applied General Topology, 2004 In the context of the theory of uniform bundles in the sense of J. Dauns and K. H. Hofmann, the topology of the fiber space of a uniform bundle depends on the assumption of upper semicontinuity of its defining set of pseudometrics when composed with ...
Clara M. Neira U., Januario Varela
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Normal Hyperbolicity and Continuity of Global Attractors for a Nonlocal Evolution Equations
International Journal of Differential Equations, 2014 We show the normal hyperbolicity property for the equilibria of the evolution equation ∂m(r,t)/∂t=-m(r,t)+g(βJ*m(r,t)+βh), h,β≥0, and using the normal hyperbolicity property we prove the continuity (upper semicontinuity and lower semicontinuity) of the ...
Severino Horácio da Silva +2 more
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