Results 41 to 50 of about 134 (108)
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
Generalized convexity, nonsmooth variational inequalities, and nonsmooth optimization [PDF]
, 2013 Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems ...
Ansari, Qamrul Hasan
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
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results [PDF]
, 2021 The goal of this paper is to investigate a new class of elliptic mixed boundary value problems involving a nonlinear and nonhomogeneous partial differential operator (p,q)-Laplacian, and a multivalued term represented by Clarke’s generalized gradient ...
Migórski, Stanislaw +4 more
core +1 more source
Variational-hemivariational inequality for a class of dynamic nonsmooth frictional contact problems [PDF]
, 2019 In this paper, a dynamic frictional contact problem for viscoelastic materials with long memory is studied. The contact is modeled by a multivalued normal damped response condition with the Clarke generalized gradient of a locally Lipschitz ...
Gamorski, Piotr +3 more
core +1 more source
Generalized Lagrange Theorem [PDF]
The present paper is devoted to possible generalizations of the classic Lagrange Mean Value Theorem. We consider a real-valued function of several variables that is only assumed to be continuous.
Zając, Karolina
core +1 more source
A new class of quasistatic frictional contact problems governed by a variational-hemivariational inequality [PDF]
, 2019 A quasistatic nonsmooth frictional contact problem for a viscoelastic material is studied. The contact is modeled by a multivalued normal damped response condition with the Clarke generalized gradient of a locally Lipschitz superpotential and the ...
Gamorski, Piotr +3 more
core +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