[PDF][PDF] Recent developments in fractional programming: single-ratio and max-min case

S Schaible, J Shi - Nonlinear analysis and convex analysis, 2004 - academia.edu
We review some recent developments in single-ratio and generalized fractional
programming. In the latter case we focus on the maximization of the smallest of several …

A sixth bibliography of fractional programming

IM Stancu-Minasian - Optimization, 2006 - Taylor & Francis
This bibliography of fractional programming is a continuation of five previous bibliographies
by the author (Pure Appl. Math. Sci.(India), Vol. XIII, No. 1–2, 35–69, March (1981); ibid. Vol …

Duality in nondifferentiable minimax fractional programming with generalized convexity

I Ahmad, Z Husain - Applied Mathematics and Computation, 2006 - Elsevier
Duality in nondifferentiable minimax fractional programming with generalized convexity -
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Second order duality for minmax fractional programming

Z Husain, I Ahmad, S Sharma - Optimization Letters, 2009 - Springer
Second order duality for minmax fractional programming Page 1 Optim Lett (2009) 3:277–286
DOI 10.1007/s11590-008-0107-4 ORIGINAL PAPER Second order duality for minmax fractional …

Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity

I Ahmad, Z Husain - Journal of Optimization Theory and Applications, 2006 - Springer
We establish sufficient optimality conditions for a class of nondifferentiable minimax
fractional programming problems involving (F, α, ρ, d)-convexity. Subsequently, we apply the …

Multiple objective fractional programming involving semilocally type I-preinvex and related functions

SK Mishra, SY Wang, KK Lai - Journal of Mathematical Analysis and …, 2005 - Elsevier
Sufficient optimality conditions are obtained for a nonlinear multiple objective fractional
programming problem involving η-semidifferentiable type I-preinvex and related functions …

Second-order duality for nondifferentiable minimax programming involving generalized type I functions

SK Mishra, NG Rueda - Journal of Optimization Theory and Applications, 2006 - Springer
We apply the optimality conditions of nondifferentiable minimax programming to formulate a
general second-order Mond-Weir dual to the nondifferentiable minimax programming …

[HTML][HTML] Second-order duality in nondifferentiable minmax programming involving type-I functions

I Ahmad, Z Husain, S Sharma - Journal of Computational and Applied …, 2008 - Elsevier
Second-order duality in nondifferentiable minmax programming involving type-I functions -
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[HTML][HTML] Optimality conditions in multiobjective programming models with semi-infinite constraints using generalized (h, φ)-G-type I functions

T Saeed, V Singh, S Treanţă, S Lalmalsawma - Results in Control and …, 2024 - Elsevier
In this paper, we introduce a new class of generalized (h, φ)-G-type I vector-valued
functions, by combining the notions of (h, φ)-differentiable functions, G-invex functions, and …

[HTML][HTML] Non-differentiable minimax fractional programming with generalized α-univexity

A Jayswal - Journal of Computational and Applied Mathematics, 2008 - Elsevier
In this paper, we study a non-differentiable minimax fractional programming problem under
the assumption of generalized α-univex function. In this paper we extend the concept of α …