2010Journal of Interdisciplinary MathematicsRequires access

Generalized (F,β,Φ,ρ,θ) -univex functions and optimality conditions in semiinfinite fractional programming

G. J. Zalmai, Qinghong Zhang

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Abstract

In this paper, we establish a set of necessary optimality conditions, and formulate and discuss a fairly large number of sets of global sufficient optimality criteria under various generalized (F,β,Φ,ρ,θ) –univexity assumptions for a semiinfinite fractional programming problem.

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What this paper is about

In this paper, we establish a set of necessary optimality conditions, and formulate and discuss a fairly large number of sets of global sufficient optimality criteria under various generalized (F,β,Φ,ρ,θ) –univexity assumptions for a semiinfinite fractional programming problem.

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Available abstract

In this paper, we establish a set of necessary optimality conditions, and formulate and discuss a fairly large number of sets of global sufficient optimality criteria under various generalized (F,β,Φ,ρ,θ) –univexity assumptions for a semiinfinite fractional programming problem.

Key concepts: Mathematics, Fractional programming, Applied mathematics, Mathematical optimization, Nonlinear programming, Physics, Nonlinear system, Quantum mechanics

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