Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions

S. K. Mishra; S. Y. Wang; K. K. Lai

doi:10.1016/j.mcm.2007.12.018

Author(s)

S. K. Mishra
S. Y. Wang
K. K. Lai

Related Research Unit(s)

Department of Management Sciences

Detail(s)

Original language	English
Pages (from-to)	1201-1212
Journal / Publication	Mathematical and Computer Modelling
Volume	48
Issue number	7-8
Publication status	Published - Oct 2008

Link(s)

DOI	DOI https://doi.org/10.1016/j.mcm.2007.12.018 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-49749120042&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(f66ccc1f-e9b8-4479-a51e-ad7bdae1ea1d).html

Abstract

In this paper, we introduce a new class of generalized convex n-set functions, called ({A figure is presented}, ρ,σ,θ)-V-Type-I and related non-convex functions, and then establish a number of parametric and semi-parametric sufficient optimality conditions for the primal problem under the aforesaid assumptions. This work partially extends an earlier work of [G.J. Zalmai, Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized ({A figure is presented}, α, ρ, θ)-V-convex functions, Comput. Math. Appl. 43 (2002) 1489-1520] to a wider class of functions. © 2008 Elsevier Ltd. All rights reserved.

Research Area(s)

Generalized n-set convex functions, Multiple objective fractional subset programming, Optimality conditions

Citation Format(s)

[ RIS ] [ BibTeX ]

Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions. / Mishra, S. K.; Wang, S. Y.; Lai, K. K.

In: Mathematical and Computer Modelling, Vol. 48, No. 7-8, 10.2008, p. 1201-1212.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Mishra, SK, Wang, SY & Lai, KK 2008, 'Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions', Mathematical and Computer Modelling, vol. 48, no. 7-8, pp. 1201-1212. https://doi.org/10.1016/j.mcm.2007.12.018

Mishra, S. K., Wang, S. Y., & Lai, K. K. (2008). Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions. Mathematical and Computer Modelling, 48(7-8), 1201-1212. https://doi.org/10.1016/j.mcm.2007.12.018

Mishra SK, Wang SY, Lai KK. Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions. Mathematical and Computer Modelling. 2008 Oct;48(7-8):1201-1212. https://doi.org/10.1016/j.mcm.2007.12.018

Mishra, S. K. ; Wang, S. Y. ; Lai, K. K. / Optimality conditions for multiple objective fractional subset programming with (, ρ,σ,θ )-V-type-I and related non-convex functions. In: Mathematical and Computer Modelling. 2008 ; Vol. 48, No. 7-8. pp. 1201-1212.