[图书][B] Generalized convexity and vector optimization

SK Mishra, SY Wang, KK Lai - 2009 - Springer
The present lecture note is dedicated to the study of the optimality conditions and the duality
results for nonlinear vector optimization problems, in finite and infinite dimensions. The …

Non-differentiable second order symmetric duality in mathematical programming with F-convexity

XM Yang, XQ Yang, KL Teo - European Journal of Operational Research, 2003 - Elsevier
A pair of Wolfe type non-differentiable second order symmetric primal and dual problems in
mathematical programming is formulated. The weak and strong duality theorems are then …

Second order symmetric duality in mathematical programming with F-convexity

SK Mishra - European Journal of Operational Research, 2000 - Elsevier
Under second order F-convexity F-concavity and second order F-pseudoconvexity F-
pseudoconcavity, appropriate second order duality results for pair of Wolfe and Mond–Weir …

[HTML][HTML] Higher-order symmetric duality with cone constraints

TR Gulati, SK Gupta - Applied Mathematics Letters, 2009 - Elsevier
A pair of higher-order Wolfe and Mond–Weir type symmetric dual models with cone
constraints are formulated and usual duality theorems are established under higher-order η …

On multiobjective second order symmetric duality with cone constraints

I Ahmad, Z Husain - European Journal of Operational Research, 2010 - Elsevier
A pair of Wolfe type multiobjective second order symmetric dual programs with cone
constraints is formulated and usual duality results are established under second order …

Higher-order nondifferentiable symmetric duality with generalized F-convexity

TR Gulati, SK Gupta - Journal of mathematical analysis and applications, 2007 - Elsevier
Higher-order nondifferentiable symmetric duality with generalized F-convexity Page 1 J. Math.
Anal. Appl. 329 (2007) 229–237 www.elsevier.com/locate/jmaa Higher-order nondifferentiable …

Non-differentiable higher-order symmetric duality in mathematical programming with generalized invexity

SK Mishra - European journal of operational research, 2005 - Elsevier
A pair of non-differentiable higher-order symmetric dual model in mathematical
programming is formulated. The weak and strong duality theorems are established under …

[HTML][HTML] Multiobjective higher-order symmetric duality involving generalized cone-invex functions

SK Gupta, A Jayswal - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, a pair of Mond–Weir type multiobjective higher-order symmetric dual programs
over arbitrary cones is formulated and usual duality results are established under higher …

On second-order symmetric duality for a class of multiobjective fractional programming problem

DB Ojha - Tamkang Journal of Mathematics, 2012 - journals.math.tku.edu.tw
This article is concerned with a pair of second-order symmetric duals in the context of non-
differentiable multiobjective fractional programming problems. We establish the weak and …

Symmetric duality for second-order fractional programs

TR Gulati, G Mehndiratta, K Verma - Optimization Letters, 2013 - Springer
Symmetric duality for second-order fractional programs Page 1 Optim Lett (2013) 7:1341–1352
DOI 10.1007/s11590-012-0507-3 ORIGINAL PAPER Symmetric duality for second-order …