Results 21 to 30 of about 622 (75)

A penalty barrier framework for nonconvex constrained optimization [PDF]

Journal of Nonsmooth Analysis and Optimization
We consider minimization problems with structured objective function and smooth constraints, and present a flexible framework that combines the beneficial regularization effects of (exact) penalty and interior-point methods.
Alberto De Marchi, Andreas Themelis
doaj   +1 more source

Partial differential hemivariational inequalities

Advances in Nonlinear Analysis, 2018
The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Liu Zhenhai, Zeng Shengda, Motreanu Dumitru   +2 more
doaj   +1 more source

Discrete Approximations of a Controlled Sweeping Process [PDF]

, 2014
The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhe- dral moving set is not fixed while controlled by time-dependent functions.
B. S., Mordukhovich, Colombo, Giovanni, N. D., Hoang, R., Henrion   +3 more
core   +1 more source

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

Demonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj   +1 more source

On optimal control in a nonlinear interface problem described by hemivariational inequalities

Advances in Nonlinear Analysis
This article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions.
Gwinner Joachim
doaj   +1 more source

Blurred maximal cyclically monotone sets and bipotentials

, 2010
Let X be a reflexive Banach space and Y its dual. In this paper we find necessary and sufficient conditions for the existence of a bipotential for a blurred maximal cyclically monotone graph. Equivalently, we find a necessary and sufficient condition on $
Bodovillé G., Buliga M., Buliga M., Buliga M., CLAUDE VALLÉE, de Saxcé G., de Saxcé G., de Saxcé G., GÉRY DE SAXCÉ, Hjiaj M., Ladevèze P., MARIUS BULIGA   +11 more
core   +3 more sources

Characterizations of Super-regularity and its Variants

, 2018
Convergence of projection-based methods for nonconvex set feasibility problems has been established for sets with ever weaker regularity assumptions.
A Daniilidis, AS Lewis, D Aussel, DR Luke, HH Bauschke, HH Bauschke, HV Ngai, J Bolte, MN Dao, R Hesse, RA Poliquin   +10 more
core   +1 more source

Ekeland’s variational principle for interval-valued functions with an α-level set in Kaleva-Seikkala’s type fuzzy metric spaces

Demonstratio Mathematica
In this paper, we establish a new version of Ekeland’s variational principle in the setting of Kaleva-Seikkala’s type fuzzy metric spaces, where the objective function is an interval-valued function defined on a fuzzy metric space, and the perturbation ...
Liu Xuan, He Fei, Lu Ning
doaj   +1 more source

Differential Stability of Convex Discrete Optimal Control Problems

, 2017
Differential stability of convex discrete optimal control problems in Banach spaces is studied in this paper. By using some recent results of An and Yen [Appl. Anal.
An, Duong Thi Viet, Toan, Nguyen Thi
core   +1 more source

A generalized fixed-point theorem for set-valued mappings in b-metric spaces

Open Mathematics
The aim of this article is to present a local generalized fixed-point theorem for set-valued mappings in b-metric spaces, which brings together the framework of different (such as Nadler’s and Kannan’s) fixed-point theorems.
Zhang Binbin, Yin Chenhao, Zhou Chang
doaj   +1 more source