Results 101 to 110 of about 767,552 (139)

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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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

Generalized invex monotonicity

European Journal of Operational Research, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gabriel Ruiz Garzón, Rafaela Osuna Gómez, Antonio Rufián-Lizana   +2 more
openaire   +3 more sources

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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Generalized Nonsmooth Invexity

Journal of Information and Optimization Sciences, 1994
Abstract In this paper sufficient optimality conditions and duality results are established for a nonlinear programming problem without differentiability assumption on the data wherein Clarke’s generalized gradient is used to define invexity, pβeudoinvexity and quasiinvexity for Lipβchitz functions.
R. N. Kaul, S. K. Suneja, C. S. Lalitha
openaire   +1 more source

Duality for a Class of Multiobjective Control Problems With Generalized Invexity

Journal of Mathematical Analysis and Applications, 2001
To a given multiobjective control problem the authors associate two mixed type duals following the model of \textit{D. Bhatia} and \textit{P. Kumar} [ibid. 189, 676-692 (1995; Zbl 0831.90100)]. Several weak duality relations are established under generalized invex hypotheses.
Zhian Liang
exaly   +3 more sources

Some Results on Mathematical Programming With Generalized Ratio Invexity

Journal of Mathematical Analysis and Applications, 1999
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L Venkateswara Reddy, R N Mukherjee
exaly   +3 more sources

Generalized Invexity and Duality in Multiobjective Programming Problems

Journal of Global Optimization, 2000
The paper generalizes the concept of type I functions introduced by Hanson and Mond (1987) to vector-valued functions in order to develop duality results for nonlinear multiobjective programming problems with inequality constraints. Under these generalized type I assumptions, Mond-Weir and generalized Mond-Weir type duals are formulated and the concept
Brahim Aghezzaf, Mohamed Hachimi
openaire   +3 more sources

Optimization with generalized invexity

Optimization, 2005
Constrained optimization is studied, with nonsmooth (Lipschitz) functions in abstract spaces and cone-constraints. Some more general Lagrangian necessary conditions are obtained, using strict minimum and approximation methods. These conditions are sufficient for a minimum under generalized invex assumptions.
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Multiobjective Programming Under Generalized Type I Invexity

Journal of Mathematical Analysis and Applications, 2001
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Rita Pini, Chanchal Singh
exaly   +4 more sources