Results 131 to 140 of about 565 (171)

Invexity and Generalized Convexity

Optimization, 1991
Let f be a real differentiate function defined on the open subset A of R n;f is said to be invex if the following inequality is satisfied for a suitable function η The purpose of this paper is to investigate the relationship between invexity and generalized convexity; moreover, we shall give necessary and sufficient conditions for a differentiable ...
Rita Pini
exaly   +2 more sources

The Essence of Invexity

Journal of Optimization Theory and Applications, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Generalized invex monotonicity

European Journal of Operational Research, 2003
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Gabriel Ruiz Garzón, Rafaela Osuna Gómez, Antonio Rufián-Lizana   +2 more
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Strengthened invex and perturbations

Mathematical Methods of Operations Research, 1996
Summary: If the strengthened invex property holds for a constrained minimization problem, then a Karush-Kuhn-Tucker point is a strict minimum. The strict minimum property is preserved under small perturbations of the problem. This allows sufficient conditions to be given for a minimax, starting from Karush-Kuhn-Tucker conditions.
Bruce Desmond Craven, Do Van Luu, Bevil Milton Glover   +2 more
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Invexity of quadratic functions and restricted/local invexity

Journal of Information and Optimization Sciences, 1996
Abstract A characterization of invexity properties of quadratic functions is derived and contrasted with existing results on pseudoconvexity. Three different approaches are employed. In the process quadratic functions are used as approximations to C2-functions to prove results on local invexity.
MOLHO, ELENA, Schaible Siegfried
openaire   +1 more source

Characterizations of semi-prequasi-invexity

Journal of Systems Science and Complexity, 2014
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Yingxue Zhao, Xiaoge Meng, Han Qiao, Shouyang Wang, Luis Coladas   +4 more
openaire   +3 more sources

Criteria for generalized invex monotonicities

European Journal of Operational Research, 2005
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Xinmin Yang 0001, X. Q. Yang, Kok Lay Teo   +2 more
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KT-invex control problem

Applied Mathematics and Computation, 2008
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Manuel Arana-Jiménez, Rafaela Osuna Gómez, Antonio Rufián-Lizana, Gabriel Ruiz Garzón   +3 more
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Constraint qualifications in the invex case

Journal of Information and Optimization Sciences, 1998
Abstract The purposes of the present paper are: (1) to weaken certain constraint qualifications (CQ’s) for a nonlinear programming problem by means of invexity; (2) to study the relationships among the various CQ’s in the case of a closed set constraint; (3) to give a sufficient condition for the equivalence between the Kuhn-Tucker CQ and the Abadie CQ.
GIORGI G., GUERRAGGIO, ANGELO
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Note on generalized invex functions

Optimization Letters, 2012
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Dehui Yuan, Xiaoling Liu, Guoming Lai 0002   +2 more
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