A Review on Non-Linear Programming and Generalized Invexity

A Review on Non-Linear Programming and Generalized Invexity

Dr.L.V.Reddy

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L. V. Reddy

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B. Satyanarayana

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D. Devanandam

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Jawaharlal Nehru Technological University Anantapur

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

Reference Format

Holger Scheel,Stefan Scholtes (2000). Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity.
J Ye (2000). Constraint qualifications and necessary optimality conditions for optimization problems with variational inequality constraints.
Jane Ye (2005). Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints.
J Ye (1999). Optimality Conditions for Optimization Problems with Complementarity Constraints.
J Ye,X Ye (1997). Necessary optimality conditions for optimization problems with variational inequality constraints.
R Fletcher,S Leyffer,D Ralph,S Scholtes (2006). Local convergence of SQP methods for mathematical programs with equilibrium constraints.
Lei Guo,Gui-Hua Lin,Jane Ye (2012). Stability Analysis for Parametric Mathematical Programs with Geometric Constraints and Its Applications.
X Hu,D Ralph (2004). Convergence of a Penalty Method for Mathematical Programming with Complementarity Constraints.
A Izmailov,M Solodov (2008). An active-set Newton method for mathematical programs with complementarity constraints.
F Clarke (1983). Optimization and Nonsmooth Analysis.
A Fiacco,G Mccormick (1968). Nonlinear Programming: Sequential Unconstrained Minimization Techniques.
R Andreani,G Haeser,M Schuverdt,J Silva (2012). Two new weak constraint qualification and applications.
A Arutyunov (1991). Perturbations of extremal problems with constraints and necessary optimality conditions.
M Anitescu (2000). Degenerate nonlinear programming with a quadratic growth condition.
J Burke (1991). Calmness and Exact Penalization.
Monique Guignard (1969). Generalized Kuhn–Tucker Conditions for Mathematical Programming Problems in a Banach Space.
Stephen Robinson (1982). Generalized equations and their solutions, part II: Applications to nonlinear programming.
M Flegel,C Kanzow (2005). On the Guignard constraint qualification for mathematical programs with equilibrium constraints.
J Ye,D Zhu,Q Zhu (1997). Exact Penalization And Necessary Optimality Conditions For Generalized Bilevel Programming Problems.
Lei Guo,• Gui-Hua Lin,• Jane,J (2013). Ye Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints.
O Mangasarian,J Ren (1969). New improved error bounds for the linear complementarity problem.

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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

Dr.L.V.Reddy. 2014. \u201cA Review on Non-Linear Programming and Generalized Invexity\u201d. Global Journal of Computer Science and Technology - A: Hardware & Computation GJCST-A Volume 14 (GJCST Volume 14 Issue A1): .

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GJCST Volume 14 Issue A1
Pg. 13- 16

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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

Keywords

duality invexity non-linear programming optimality

Submission ReceivedDecember 11, 2013
Peer Review Double Blind
Handling Editor
Accepted January 4, 2014
Published January 15, 2014

Version of record

v1.2

Issue date

May 18, 2014

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Article Matrices

Total Score: 103

Country: India

Subject: Global Journal of Computer Science and Technology - A: Hardware & Computation

Authors: L. V. Reddy, B. Satyanarayana, D. Devanandam (PhD/Dr. count: 0)

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Publish Date: 2014 05, Sun

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Total Views: 9033

Total Downloads: 2298

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