Results 91 to 100 of about 342 (117)

Second-Order Optimality Conditions in Minimax Optimization Problems

Journal of Optimization Theory and Applications, 2012
A finite-dimensional minimax problem \(\min_{x} \sup_{y\in Y} f(x,y)\) s.t. \(g(x)\in D\), \(h(x)=0\) with \(x\in \mathbb R^n\), \(Y\subset \mathbb R^m\) compact, \(D\subset \mathbb R^m\) closed with nonempty interior, \(f(\cdot,y),y\in Y\); \(g\); \(h\) \(C(1,1)\) functions is reformulated and dealt with cone constraint as infinite programming problem
Anulekha Dhara, Mehra Aparna, Aparna Mehra   +2 more
exaly   +3 more sources

Necessary optimality conditions for minimax programming problems with mathematical constraints

Optimization, 2017
In this paper, necessary optimality conditions in terms of upper and/or lower subdifferentials of both cost and constraint functions are derived for minimax optimization problems with inequality, equality and geometric constraints in the setting of non-differentiatiable and non-Lipschitz functions in Asplund spaces.
Pankaj Gupta, Truong Q Bao
exaly   +2 more sources

Optimality Conditions for Nondifferentiable Minimax Programs and Vector Optimization Problems

Journal of Optimization Theory and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Dong Yen, Duong Thi Kim Huyen, Do Sang Kim   +2 more
exaly   +3 more sources

Optimality Conditions at Infinity for Nonsmooth Minimax Programming Problems with Some Applications

Journal of Optimization Theory and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen van tuyen, Do Sang Kim, Kim Do Sang   +2 more
exaly   +3 more sources

Optimality Conditions for Minimax Optimization Problems with an Infinite Number of Constraints and Related Applications

Acta Mathematicae Applicatae Sinica, English Series, 2021
Optimization problems with an infinite number of constraints have recently been studied in many recent literatures. This paper deals with the optimality conditions for minimax optimization problems with an infinite number of constraints (MMOP) under the fulfilment of limiting constraint qualification.
Zhong, Li-nan, Jin, Yuan-feng
openaire   +1 more source

Approximate optimality conditions for minimax programming problems

Optimization, 2009
In this article we study non-smooth Lipschitz programming problems with set inclusion and abstract constraints. Our aim is to develop approximate optimality conditions for minimax programming problems in absence of any constraint qualification. The optimality conditions are worked out not exactly at the optimal solution but at some points in a ...
Anulekha Dhara, Aparna Mehra
openaire   +1 more source

About the conditions of optimality in the minimax problem for controlling differential inclusion with delay

ACADEMICIA: An International Multidisciplinary Research Journal, 2020
In the paper we considered one class controlling differential inclusions with delay. For the control system the minimax problem is researched. In the no smooth control problem the necessary and sufficient conditions of optimality are obtained. One of the approaches used in making decisions in conditions of incomplete information is the principle of ...
Otakulov Salim, Kholiyarova Feruza
openaire   +1 more source

A Method for Establishing Optimality Conditions for a Nonsmooth Vector-Valued Minimax Problem

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Craven, B. D., Do Van Luu
openaire   +2 more sources

Optimality conditions for set-valued minimax fractional programming problems

SeMA Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Das, C. Nahak
openaire   +2 more sources