A Review on Non-Linear Programming and Generalized Invexity

§ Sree Vidyanikethan Engineering College,Tirupathi.

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A Review on Non-Linear Programming and Generalized Invexity

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Abstract

Over past few years, the concept of NLPP and their related results based on generalized invexity has become one of the prominent and important areas of classical optimization. This paper presents a brief review on such problems and their respective results in game theory, continuous time programming, multivariable optimization, composite programming etc.

References

21 Cites in Article
  1. 1. Holger Scheel,Stefan Scholtes (2000). Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity. Mathematics of Operations Research, 25(1), 1-22.
  2. 2. J Ye (2000). Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints. SIAM J. Optim, 10, 943-962.
  3. 3. Jane Ye (2005). Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints. Journal of Mathematical Analysis and Applications, 307(1), 350-369.
  4. 4. J Ye (1999). Optimality Conditions for Optimization Problems with Complementarity Constraints. SIAM Journal on Optimization, 9(2), 374-387.
  5. 5. J Ye,X Ye (1997). Necessary optimality conditions for optimization problems with variational inequality constraints. Math. Oper. Res, 22, 977-997.
  6. 6. R Fletcher,S Leyffer,D Ralph,S Scholtes (2006). Local convergence of SQP methods for mathematical programs with equilibrium constraints. SIAM J. Optim, 17, 259-286.
  7. 7. Lei Guo,Gui-Hua Lin,Jane Ye (2012). Stability Analysis for Parametric Mathematical Programs with Geometric Constraints and Its Applications. SIAM Journal on Optimization, 22(3), 1151-1176.
  8. 8. X Hu,D Ralph (2004). Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints. Journal of Optimization Theory and Applications, 123(2), 365-390.
  9. 9. A Izmailov,M Solodov (2008). An active-set Newton method for mathematical programs with complementarity constraints. SIAM J. Optim, 19, 1003-1027.
  10. 10. F Clarke (1983). Optimization and Nonsmooth Analysis. Optimization and Nonsmooth Analysis
  11. 11. A Fiacco,G Mccormick (1968). Nonlinear Programming: Sequential Unconstrained Minimization Techniques. Nonlinear Programming: Sequential Unconstrained Minimization Techniques
  12. 12. R Andreani,G Haeser,M Schuverdt,J Silva (2012). Two new weak constraint qualification and applications. SIAM J. Optim, 22, 1109-1135.
  13. 13. A Arutyunov (1991). Perturbations of extremal problems with constraints and necessary optimality conditions. Journal of Soviet Mathematics, 54(6), 1342-1400.
  14. 14. M Anitescu (2000). Degenerate nonlinear programming with a quadratic growth condition. SIAM J. Optim, 10, 1116-1135.
  15. 15. J Burke (1991). Calmness and Exact Penalization. SIAM Journal on Control and Optimization, 29(2), 493-497.
  16. 16. Monique Guignard (1969). Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space. SIAM Journal on Control, 7(2), 232-241.
  17. 17. Stephen Robinson (1982). Generalized equations and their solutions, part II: Applications to nonlinear programming. Mathematical Programming Studies, 19, 200-221.
  18. 18. M Flegel,C Kanzow (2005). On the Guignard constraint qualification for mathematical programs with equilibrium constraints. Optimization, 54, 517-534.
  19. 19. J Ye,D Zhu,Q Zhu (1997). Exact Penalization And Necessary Optimality Conditions For Generalized Bilevel Programming Problems. SIAM Journal of Optimization, 7(2), 481-507.
  20. 20. Lei Guo,• Gui-Hua Lin,• Jane,J (2013). Ye Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints. J. Optim. Theory Appl, 158, 33-64.
  21. 21. O Mangasarian,J Ren (1969). New improved error bounds for the linear complementarity problem. Mathematical Programming, 66(1-3), 241-255.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

L. V. Reddy, bhavanari satyannarayana, ddn1998in. 2014. "A Review on Non-Linear Programming and Generalized Invexity". Global Journal of Computer Science and Technology - A: Hardware & Computation GJCST-A Volume 14 (GJCST Volume 14 Issue A1).

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

Keywords
Classification
GJCST-C Classification G.1.3
Version of record

v1.2

Issue date
May 18, 2014

Language
English
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A Review on Non-Linear Programming and Generalized Invexity

L. Reddy
L. Reddy Sree Vidyanikethan Engineering College,Tirupathi.
bhavanari satyannarayana
bhavanari satyannarayana