Nondierentiable multiobjective higher-order duality relations for unified type dual models under type-I functions
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The motivation behind this paper is to study a class of nondierentiable multiobjective fractional program- ming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a dierentiable function, we consider the class of second-order (F; ; ; d)-type- I convex functions. Further, we formulate unied (mixed type) dual models and derived duality relations under aforesaid assumptions.
Abstract
The motivation behind this paper is to study a class of nondierentiable multiobjective fractional program- ming problem in which each component of objective functions contains a term including the support function of a compact convex set. For a dierentiable function, we consider the class of second-order (F; ; ; d)-type- I convex functions. Further, we formulate unied (mixed type) dual models and derived duality relations under aforesaid assumptions.
참고문헌 (10)
- Ahmad, I., "Unified higher order duality in nondifferentiable multiobjective programming involving cones", Math. Comput. Model, 55, pp.419425~ (2012)
- Ramu Dubey, "Optimality and duality results for a nondifferentiable multiobjective fractional programming problem", Journal of Inequalities and Applications, 2015(1) (2015), Springer Science and Business Media LLC[DOI]
- Gulati, T.R., "Second-order duality in multiobjective programming involving (F, α p, d)―V -type I functions", Numer. Funct. Anal. Optim, 28, pp.12631277~ (2007)
- Gulati, T.R., "Geeta: Duality in nondifferentiable multiobjective fractional programming problem with generalized invexity", J. Appl. Math. Comput, 35, pp.103~118 (2011)
- Jayswal, A., "Second order duality for nondifferentiable multiobjective programming problem involving (F, α p, d)―V -type I functions", Optim. Lett, 4, pp.211226~ (2010)
- Jayswal, A., "Higher-order duality for multiobjective programming problems involving (F, α p, d)―V -type I functions", J. Math. Model Algor, 13, pp.125141~ (2014)
- Mangasarian, O.L., "Second and higher-order duality in nonlinear programming", J. Math. Anal. Appl, 51, pp.607620~ (1975)
- Suneja, S.K., "Higher order duality in multiobjective fractional programming with support functions", J. Math. Anal. Appl, 347, pp.817~ (2008)
- Yang, "Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming", J.Math. Anal. Appl, 297, pp.4855~ (2004)
- Zhang, J., "Progress in Optimization, Contributions from Australasia, Applied Optimization, 30" (1999), Kluwer Academic Publishers
