Results 11 to 20 of about 1,294 (187)
Mathematics, 2021 For the past few decades, various algorithms have been proposed to solve convex minimization problems in the form of the sum of two lower semicontinuous and convex functions.
Dawan Chumpungam +2 more
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Lower semicontinuity and relaxation of nonlocal $$L^\infty $$-functionals [PDF]
Calculus of Variations and Partial Differential Equations, 2020 AbstractWe study variational problems involving nonlocal supremal functionals$$\begin{aligned} L^\infty (\Omega ;{\mathbb {R}}^m) \ni u\mapsto \mathrm{ess sup}_{(x,y)\in \Omega \times \Omega } W(u(x), u(y)), \end{aligned}$$L∞(Ω;Rm)∋u↦esssup(x,y)∈Ω×ΩW(u(x),u(y)),where$$\Omega \subset \mathbb {R}^n$$Ω⊂Rnis a bounded, open set and$$W:\mathbb {R}^m\times ...
Carolin Kreisbeck, Elvira Zappale
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Iterative Algorithm for Approximating Solutions of Maximal Monotone Operators in Hilbert Spaces
Fixed Point Theory and Applications, 2007 We first introduce and analyze an algorithm of approximating solutions of maximal monotone operators in Hilbert spaces. Using this result, we consider the convex minimization problem of finding a minimizer of a proper lower-semicontinuous convex function
Yonghong Yao, Rudong Chen
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Existence of solutions for nonconvex third order differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2005 This paper proves the existence of solutions for a third order initial value nonconvex differential inclusion. We start with an upper semicontinuous compact valued multifunction $F$ which is contained in a lower semicontinuous convex function $\partial V$
Britney Hopkins
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Distance to Spaces of Semicontinuous and Continuous Functions
Journal of Function Spaces, 2019 Given a topological space X, we establish formulas to compute the distance from a function f∈RX to the spaces of upper semicontinuous functions and lower semicontinuous functions.
Carlos Angosto
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Jurnal Fourier, 2014 This paper discusses the basic concepts and some of semicontinuous function, begins by introducing the concept of upper limit and lower limit.
Malahayati Malahayati
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A new projective exact penalty function for a general constrained optimization
Доповiдi Нацiональної академiї наук України, 2022 A new projective exact penalty function method is proposed for the equivalent reduction of constrained optimization problems to unconstrained ones. In the method, the original objective function is extended to infeasible points by summing its value at ...
V.I. Norkin
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Characterization of Radially Lower Semicontinuous Pseudoconvex Functions [PDF]
Journal of Optimization Theory and Applications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abstract and Applied Analysis, 2014 We mainly present several equivalent characterizations of the strong metric subregularity of the Mordukhovich subdifferential for an extended-real-valued lower semicontinuous, prox-regular, and subdifferentially continuous function acting on an Asplund ...
J. J. Wang, W. Song
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Lower semicontinuity of L∞ functionals
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2001 We study the lower semicontinuity properties and existence of a minimizer of the functional F\left(u\right) = \operatorname{ess}\sup \limits_{x \in \Omega }f\left(x,u\left(x\right),Du\left(x\right)\right) on W^{1,∞}(Ω;ℝ^m)
Barron, E.N., Jensen, R.R., Wang, C.Y.
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