Results 11 to 20 of about 6,202,679 (144)

Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions [PDF]

Journal of Applied Mathematics, 2012
In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions.
GuoLin Yu
doaj   +2 more sources

Modified Courant-Beltrami penalty function and a duality gap for invex optimization problem

International Journal for Simulation and Multidisciplinary Design Optimization, 2019
In this paper, we modified a Courant-Beltrami penalty function method for constrained optimization problem to study a duality for convex nonlinear mathematical programming problems. Karush-Kuhn-Tucker (KKT) optimality conditions for the penalized problem
Hassan Mansur, Baharum Adam
doaj   +2 more sources

A class of generalized invex functions and vector variational-like inequalities

Journal of Inequalities and Applications, 2017
In this paper, a class of generalized invex functions, called ( α , ρ , η ) $(\alpha,\rho,\eta)$ -invex functions, is introduced, and some examples are presented to illustrate their existence.
Ru Li, Guolin Yu
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Optimality Conditions in Nondifferentiable G-Invex Multiobjective Programming [PDF]

Journal of Inequalities and Applications, 2010
We consider a class of nondifferentiable multiobjective programs with inequality and equality constraints in which each component of the objective function contains a term involving the support function of a compact convex set.
Kim HoJung, Seo YouYoung, Kim DoSang
doaj   +3 more sources

Variational inequality problems in H-spaces [PDF]

International Journal of Mathematics and Mathematical Sciences, 2006
The concept of η-invex set is explored and the concept of T-η-invex function is introduced. These concepts are applied to the generalized vector variational inequality problems in ordered topological vector spaces.
Akrur Behera, Prasanta Kumar Das
doaj   +2 more sources

On Invex Sets and Preinvex Functions

Journal of Mathematical Analysis and Applications, 1995
Conditions are given when invex implies preinvex. This is generalized to prequasiinvex.
Mohan, S.R., Neogy, S.K.
openaire   +3 more sources

Generalized logarithmic penalty function method for solving smooth nonlinear programming involving invex functions

Arab Journal of Basic and Applied Sciences, 2019
In this paper, we have reviewed some penalty function methods for solving constrained optimization problems in the literature and proposed a continuously differentiable logarithmic penalty function which consists of the proposed logarithmic penalty ...
Mansur Hassan, Adam Baharum
doaj   +2 more sources

Inequalities for H-invex functions with applications for uniformly convex and superquadratic functions

Filomat, 2017
In this paper, we introduce and study H-invex functions including the classes of convex, ?-invex, (F,G)-invex, c-strongly convex, ?-uniformly convex and superquadratic functions, respectively. Each Hinvex function attains its global minimum at an H-stationary point.
Marek Niezgoda
openaire   +3 more sources

Jensen-Type Inequalities for Invex Functions [PDF]

, 1999
Jensen's inequality for a real convex function f on a convex domain is generalised in several ways to vector functions with a cone inequality, and to invex functions generalizing convex ...
Craven, Bruce Desmond, Dragomir, Sever S
core   +6 more sources

Logarithmic penalty function method for invex multi-objective fractional programming problems

Journal of Taibah University for Science, 2020
In this paper, a new logarithmic penalty function method is used for solving nonlinear multi-objective fractional programming problems (MOFPP) involving invex objectives and constraints functions with respect to the same function η.
Mansur Hassan, Adam Baharum, Majid Khan Majahar Ali   +2 more
doaj   +1 more source