Necessary conditions for upper semicontinuity in parametric semi-infinite programming

1986 ◽  
Vol 48 (1) ◽  
pp. 65-79 ◽  
Author(s):  
R. Colgen
Keyword(s):  
Necessary Conditions ◽  
Upper Semicontinuity ◽  
Infinite Programming

ON FIRST-ORDER NECESSARY CONDITIONS FOR OPTIMALITY OF REGULAR GENERALIZED SEMI-INFINITE PROGRAMMING

2012 ◽  
Vol 05 (04) ◽  
pp. 1250054
Author(s):  
Nader Kanzi
Keyword(s):  
Constraint Qualification ◽  
Necessary Conditions ◽  
Natural Extension ◽  
Clarke Subdifferential ◽  
Optimal Solutions ◽  
First Order ◽  
Locally Lipschitz ◽  
Necessary Conditions For Optimality ◽  
Infinite Programming ◽  
The Clarke Subdifferential

This paper is concerned with the optimality for generalized semi-infinite programming (GSIP) with nondifferentiable and nonconvex (but being regular in Clarke sense) constraint functions. The objective function is only locally Lipschitz. We consider a lower level constraint qualification which is based on the Clarke subdifferential. This constraint qualification is a natural extension of Mangasarian–Fromovitz one to the differentiable GSIP. The main results are Fritz-John type necessary conditions for optimal solutions.

scholarly journals Optimality Conditions for Nondifferentiable Multiobjective Semi-Infinite Programming Problems

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
D. Barilla ◽  
G. Caristi ◽  
A. Puglisi
Keyword(s):  
Optimality Conditions ◽  
Programming Problem ◽  
Efficient Solution ◽  
Necessary Conditions ◽  
Constraint Qualifications ◽  
Sufficient Conditions ◽  
Inequality Constraints ◽  
Necessary Condition ◽  
Weak Assumption ◽  
Infinite Programming

We have considered a multiobjective semi-infinite programming problem with a feasible set defined by inequality constraints. First we studied a Fritz-John type necessary condition. Then, we introduced two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker (KKT in brief) types necessary conditions for an efficient solution of the considered problem. Finally an extension of a Caristi-Ferrara-Stefanescu result for the (Φ,ρ)-invexity is proved, and some sufficient conditions are presented under this weak assumption. All results are given in terms of Clark subdifferential.

Czech National Awareness in Moravia in the Revolutionary Years 1848/1849

2014 ◽  
Vol 6 (1) ◽  
Author(s):  
František Čapka
Keyword(s):  
Nineteenth Century ◽  
Necessary Conditions ◽  
Cultural Contact ◽  
Significant Change ◽  
Mutual Relations ◽  
High Degree

AbstractThis study focuses on the process of the gradual shaping of Czech national awareness in Moravia from the beginning of the nineteenth century onwards when the necessary conditions for the development of improved mutual relations between the Czech (Slavic) population in the two Lands of the Czech Crown -Bohemia and Moravia - were slowly being formed. Moravia faced a number of handicaps to the development of a national revival in comparison with Bohemia, the most significant of which was the relatively high degree of Germanisation of the land. A change to the image of Moravia came in the revolutionary years 1848/1849, when Czech national awareness spread to broader sections of society in Moravia. The view of Bohemia held by the Moravians underwent significant change and a period of increasingly intensive political and cultural contact between the two lands arose.

SOCIAL PROTECTION IS A GUARANTEE OF FAMILY UNITY

2020 ◽  
Vol 7 (3) ◽  
pp. 89-96
Author(s):  
Dilbar Karshieva ◽  
Keyword(s):  
Social Protection ◽  
Necessary Conditions ◽  
Family Members ◽  
The State ◽  
The Military ◽  
Family Unity

This article demonstrates the great attention and care paid by the state to the military and their families in our country.Social protection of families of military men consists in creating necessary conditions for family members to develop and demonstrate their abilities in socio-economic, cultural, medical and other spheres.

Necessary conditions of decomposition by Bessel operator's eigenfunctions

2020 ◽  
Vol 2020 (1) ◽  
pp. 97-101
Author(s):  
Sh.T. Pirmatov
Keyword(s):  
Necessary Conditions
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