Results 31 to 40 of about 3,288 (72)
Generalized Vector Variational-Like Inequalities
Journal of Mathematical Extension, 2010 In this paper, we consider different types of generalized vector variational-like inequalities and study the relationships between their solutions.
M. Rezaei, H. Gazor
doaj
Journal of Mathematics, Volume 2025, Issue 1, 2025.The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan +6 more
wiley +1 more source
Singularities for a class of non-convex sets and functions, and viscosity solutions of some Hamilton-Jacobi equations [PDF]
, 2008 We study nondifferentiability points for a class of continuous functions $f:\mathbb R^N\to\mathbb R$ whose epigraph satisfies a kind of external sphere condition with uniform radius (called $\varphi$-convexity or proximal smoothness).
MARIGONDA, ANTONIO +3 more
core
Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.Abstract We construct a differentiable locally Lipschitz function f$f$ in RN$\mathbb {R}^{N}$ with the property that for every convex body K⊂RN$K\subset \mathbb {R}^N$ there exists x¯∈RN$\bar{x} \in \mathbb {R}^N$ such that K$K$ coincides with the set ∂Lf(x¯)$\partial _L f(\bar{x})$ of limits of derivatives {Df(xn)}n⩾1$\lbrace Df(x_n)\rbrace _{n ...
Aris Daniilidis +2 more
wiley +1 more source
Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja +4 more
wiley +1 more source
A Nonconvex Proximal Bundle Method for Nonsmooth Constrained Optimization
Complexity, Volume 2024, Issue 1, 2024.An implementable algorithm for solving nonsmooth nonconvex constrained optimization is proposed by combining bundle ideas, proximity control, and the exact penalty function. We construct two kinds of approximations to nonconvex objective function; these two approximations correspond to the convex and concave behaviors of the objective function at the ...
Jie Shen +3 more
wiley +1 more source
Nemsima analízis és alkalmazásai = Nonsmooth analysis and its applications [PDF]
, 2010 A Clarke-féle általánosított derivált fogalmat (amely a lokálisan Lipschitz véges dimenziós normált terek között ható függvényekhez társít egy mátrix-halmazértékű deriváltat), általánosítottuk végtelen dimenziós normált tereken értelmezett és duális ...
Házy, Attila +4 more
core
Weak quasi-invexity of nonsmooth functions
Applied Mathematics Letters, 2008 The notions of quasi-1 convexity, weak quasi-convexity and weak quasi-invexity are introduced. The relations among strict quasi-preinvexity, weak quasi-invexity and pseudo-invexity for a nonsmooth function are studied by means of the properties of the ...
L. Fan
semanticscholar +1 more source
Generalization of Clark’s derivation and subdifferential [PDF]
, 2009 In this talk, we first introduce some new concepts of nonsmooth analysis for locally convex topological vector spaces and then by using these definition we obtain some results. Moreover we generalizes Lebourg’s mean value theorem to locally convex spaces.
openaire
Contemporary MathematicsIn this paper, the approximate boundary controllability of Hilfer fractional neutral stochastic differential inclusions with fractional Brownian motion (fBm) and Clarke’s subdifferential in Hilbert space is discussed.
K. Nandhaprasadh, R. Udhayakumar
semanticscholar +1 more source