Generalized Fritz John optimality in nonlinear programming in the presence of equality and inequality constraints

In this paper, we study Fritz John type optimality conditions for constrained nonlinear programming in which equality and inequality constraints are together present. We introduce a generalized Fritz John condition which is necessary and sufficient for a feasible point to be an optimal solution unde...

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Vydáno v:Operational research Ročník 16; číslo 2; s. 349 - 364
Hlavní autoři: Slimani, Hachem, Radjef, Mohammed-Said
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2016
Springer Nature B.V
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ISSN:1109-2858, 1866-1505
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Abstract In this paper, we study Fritz John type optimality conditions for constrained nonlinear programming in which equality and inequality constraints are together present. We introduce a generalized Fritz John condition which is necessary and sufficient for a feasible point to be an optimal solution under weak invexity. In particular, by combining the introduced generalized Fritz John condition with the invexity with respect to different functions, we obtain sufficient optimality conditions which extend and generalize various results in the literature, and their importance and usefulness are illustrated on examples .
AbstractList In this paper, we study Fritz John type optimality conditions for constrained nonlinear programming in which equality and inequality constraints are together present. We introduce a generalized Fritz John condition which is necessary and sufficient for a feasible point to be an optimal solution under weak invexity. In particular, by combining the introduced generalized Fritz John condition with the invexity with respect to different functions, we obtain sufficient optimality conditions which extend and generalize various results in the literature, and their importance and usefulness are illustrated on examples .
Author Radjef, Mohammed-Said
Slimani, Hachem
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CitedBy_id crossref_primary_10_1007_s12190_015_0979_2
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Keywords Equality and inequality constraints
Generalized Fritz John condition
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Optimality
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Nonlinear programming
Weak pseudo-invexity
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Snippet In this paper, we study Fritz John type optimality conditions for constrained nonlinear programming in which equality and inequality constraints are together...
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SubjectTerms Business and Management
Computational Intelligence
Constraints
Convex analysis
Feasibility
Inequalities
Inequality
Management Science
Mathematical programming
Nonlinear programming
Operational research
Operations Research
Operations Research/Decision Theory
Optimization
Original Paper
Studies
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Title Generalized Fritz John optimality in nonlinear programming in the presence of equality and inequality constraints
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