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 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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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 . |
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| 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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| Cites_doi | 10.1023/A:1024791525441 10.1080/01630560802418409 10.1007/BF00934793 10.1051/ro/2014046 10.1017/S1446788700022126 10.1007/s11590-007-0045-6 10.1016/0022-247X(81)90123-2 10.1017/S0334270000007372 10.1016/S0022-247X(03)00469-4 10.4236/am.2011.24057 10.1006/jmaa.1999.6284 10.1007/s10957-006-9140-6 10.1016/0022-247X(85)90099-X 10.1016/0022-247X(67)90163-1 10.1016/j.ejor.2005.01.027 10.1007/s12597-013-0135-4 10.1016/j.ejor.2007.01.047 10.1016/j.ejor.2006.04.012 10.1007/BF02189792 10.1007/s10957-012-0123-5 10.1002/0471787779 10.1017/S0334270000005142 10.1016/S0377-2217(02)00357-0 10.1007/BF00941316 10.1016/j.camwa.2005.01.024 10.1017/S0004972700004895 10.1016/j.ejor.2009.04.018 10.1007/BF01268176 10.1007/BF02207775 10.1155/2014/496149 10.1155/2014/904640 10.1007/978-0-387-68407-9 10.11650/twjm/1500405400 |
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| Keywords | Equality and inequality constraints Generalized Fritz John condition 26A51 90C30 90C46 Optimality 90C26 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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