Results 61 to 70 of about 336 (182)
Implicit Multifunction Theorems in Banach Spaces
Journal of Applied Mathematics, 2014 This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property ...
Ming-ge Yang, Yi-fan Xu
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Lower semicontinuity for nonautonomous surface integrals [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2015 Some lower semicontinuity results are established for nonautonomous surface integrals depending in a discontinuous way on the spatial variable. The proof of the semicontinuity results is based on some suitable approximations from below with appropriate functionals.
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Nonemptiness of the Alpha‐Core
Journal of Public Economic Theory, Volume 28, Issue 1, February 2026.ABSTRACT We prove nonemptiness of the α $\alpha $‐core for balanced games with nonordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991b), and Kajii (1992). In particular, we answer an open question in Kajii (1992) regarding the applicability of the nonemptiness ...
V. Filipe Martins‐da‐Rocha +1 more
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Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
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Continuity of the Solution Maps for Generalized Parametric Set-Valued Ky Fan Inequality Problems
Journal of Applied Mathematics, 2012 Under new assumptions, we provide suffcient conditions for the (upper and lower) semicontinuity and continuity of the solution mappings to a class of generalized parametric set-valued Ky Fan inequality problems in linear metric space.
Z. Y. Peng, X. B. Li
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Lower semicontinuous with Lipschitz coefficients
, 2010 We are interested in integral functionals of the form \begin{equation*} \boldsymbol{J}(U, V) =\int_{\Omega }J\big(x, U(x), V(x)\big) dx, \end{equation*} where $J$ is Carathéodory positive integrand, satisfying some growth condition of order $p\in]1, +\infty[$.
Mokrane, Ahmed Zerrouk +1 more
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Quasi-stability of a vector trajectorial problem with non-linear partial criteria [PDF]
Computer Science Journal of Moldova, 2003 Multi-objective (vector) combinatorial problem of finding the Pareto set with four kinds of non-linear partial criteria is considered. Necessary and sufficient conditions of that kind of stability of the problem (quasi-stability) are obtained.
Vladimir A. Emelichev +1 more
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Lower Semicontinuity of the Universal Functional in Paramagnetic Current-Density Functional Theory. [PDF]
J Phys Chem Lett, 2021 Kvaal S +3 more
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On lower semicontinuity of multiple integrals [PDF]
Colloquium Mathematicum, 1997 The paper presents a short proof of the lower semicontinuity of the integral functional \[ \int_\Omega f(x,u,\nabla u) dx,\qquad u:\Omega\subset{\mathbb{R}}^n\to{\mathbb{R}}^k \] in the weak topology of \(W^{1,p}\) under suitable \(p\)-growth conditions, and quasi convexity of \(z\mapsto f(x,s,z)\).
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On the lower semicontinuity of the ADM mass [PDF]
Communications in Analysis and Geometry, 2018 18 pages, 4 ...
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