Results 21 to 30 of about 810 (214)
Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure [PDF]
Journal of Optimization Theory and Applications, 2013 We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function.
Robert Baier +2 more
openaire +2 more sources
A Duality Framework for Mathematical Programs with Tangential Subdifferentials
AlgorithmsThe aim of this article is to study duality results for nonsmooth mathematical programs with equilibrium constraints in terms of tangential subdifferentials.
Vandana Singh +2 more
doaj +1 more source
Error Bound for Conic Inequality in Hilbert Spaces
Abstract and Applied Analysis, 2014 We consider error bound issue for conic inequalities in Hilbert spaces. In terms of proximal subdifferentials of vector-valued functions, we provide sufficient conditions for the existence of a local error bound for a conic inequality.
Jiangxing Zhu, Qinghai He, Jinchuan Lin
doaj +1 more source
Multivalued nonmonotone dynamic boundary condition
Boundary Value Problems, 2021 In this paper, we introduce a new class of hemivariational inequalities, called dynamic boundary hemivariational inequalities, reflecting the fact that the governing operator is also active on the boundary.
Khadija Aayadi +3 more
doaj +1 more source
Approximate subdifferentials and applications. I. The finite-dimensional theory
, 1984 We introduce and study a new class of subdifferentials associated with arbitrary functions. Among the questions considered are: connection with other derivative-like objects (e.g.
A. D. Ioffe
core +1 more source
Closedness type regularity conditions in convex optimization and beyond
Frontiers in Applied Mathematics and Statistics, 2016 The closedness type regularity conditions have proven during the last decade to be viable alternatives to their more restrictive interiority type counterparts, in both convex optimization and different areas where it was successfully applied.
Sorin-Mihai Grad
doaj +1 more source
On the Subdifferentiability of Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1965 (Thus the subgradients of f correspond to the nonvertical supporting hyperplanes to the convex set consisting of all the points of E (DR lying above the graph of f.) The set of subgradients of f at x is denoted by of(x). If of(x) is not empty, f is said to be subdifferenticable at x.
Brøndsted, Arne, Rockafellar, R. T.
openaire +1 more source
Journal of Agricultural Economics, EarlyView.ABSTRACT We develop a framework for regulated production systems where output generation and pollution abatement impose competing technological demands. Using a multi‐ware technology, we model the production set as the intersection of two input requirement frontiers, one for production and one for abatement, each reflecting distinct trade‐offs.
Youpei Yan, Robert G. Chambers
wiley +1 more source
MathematicsThis paper develops a mathematical approach to the analysis of the stability of economic equilibria in nonsmooth models. The λ-Hölder apparatus of subdifferentials is used, which extends the class of systems under study beyond traditional smooth ...
Anna V. Aleshina +3 more
doaj +1 more source
Journal of Inequalities and Applications, 2009 New concepts of generalized (ρ,θ)-η invex functions for non-differentiable functions and generalized (ρ,θ)-η invariant monotone operators for set-valued mappings are introduced.
Caiping Liu, Xinmin Yang
doaj +1 more source