Abstract
In this chapter, we establish many global nonparametric sufficient optimality conditions under various generalized VāāāĻ-invexity assumptions for a minmax fractional programming problem with infinitely many nonlinear inequality and equality constraints.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Chew, K.L., Choo, E.U.: Pseudolinearity and efficiency. Math. Program. 28, 226ā239 (1984)
Craven, B.D.: Invex functions and constrained local minima, Bull. Austral. Math. Soc. 24 357ā366 (1981)
Dinkelbach, W.: On nonlinear fractional programming. Manage. Sci. 13 492ā498 (1967)
Fiaclco, A.V., Kortanek K.O. (Eds.): Semi-infinite Programming and Applications. Lecture Notes in Economics and Mathematical Systems, Vol. 215, Springer, Berlin (1983)
Goberna, M.A., Lopez, M.A. (Eds.): Semi-infinite Programming-Recent Advances. Kluwer, Dordrecht (2001)
Hanson, M.A.: On sufficiency of the Kuhn-Tucker conditions, J. Math. Anal. Appl. 80 545ā550 (1981)
Hettich, R. (eds.): Semi-Infinite Programming. Lecture Notes in Control and Information Sciences, Vol. 15, Springer, Berlin (1979)
Hettich R., Kortanek, K.O.: Semi-infinite programming: Theory, methods and applications. SIAM Rev. 35 380ā429 (1993)
Jeyakumar V., Mond, B.: On generalized convex mathematical programming, J. Austral. Math. Soc. Ser. B 34 43ā53 (1992)
Mishra, S.K., Giorgi, G.: Invexity and Optimization. Springer, Berlin (2008)
Mishra, S.K., Wang, S.Y., Lai, K.K.: V-Invex Functions and Vector Optimization. Springer, New York (2008)
Reemtsen, R., Ruckmann, J.J. (Eds.): Semi-Infinite Programming, Kluwer, Boston (1998)
Weber, G.W.: Generalized semi-infinite optimization: Theory and applications in optimal control and discrete optimization. J. Stat. Manage. Syst. 5 359ā388 (2002)
Zalmai, G.J., Zhang, Q.: Global nonparametric sufficient optimality conditions for semiinfinite discrete minimax fractional programming problems involving generalized (Ī·,Ļ)- invex functions. Numer. Funct. Anal. Optim. 28 (1ā2) 173ā209 (2007)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Ā© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Mishra, S.K., Lai, K.K., Guu, SM., Shukla, K. (2011). On Sufficient Optimality Conditions for Semi-Infinite Discrete Minmax Fractional Programming Problems Under Generalized V-Invexity. In: Mishra, S. (eds) Topics in Nonconvex Optimization. Springer Optimization and Its Applications(), vol 50. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9640-4_9
Download citation
DOI: https://doi.org/10.1007/978-1-4419-9640-4_9
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-9639-8
Online ISBN: 978-1-4419-9640-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)