Results 61 to 70 of about 767,552 (139)
KT-invexity in optimal control problems
, 2009 We extend the notion of KT-invexity from mathematical programming to the classical optimal control problem and show that this generalized invexity property is not only a sufficient condition of optimality for KT-processes (processes that obey KT ...
Rojas-Medar, Marko Antonio +3 more
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Generalized
Journal of Inequalities and Applications, 2009 New concepts of generalized invex functions for non-differentiable functions and generalized invariant monotone operators for set-valued mappings are introduced.
Yang Xinmin, Liu Caiping
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Results on Solution Set in Certain Interval-Valued Controlled Models
MathematicsIn this paper, a class of controlled variational control models is studied by considering the notion of (q,w)−π-invexity. Our aim is to investigate a solution set in the considered interval-valued controlled models.
Savin Treanţă, Omar Mutab Alsalami
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Higher-Order Generalized Invexity and Duality in Mathematical Programming
Journal of Mathematical Analysis and Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mishra, Shashi K., Rueda, Norma G.
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First Order Characterizations of Pseudoconvex Functions [PDF]
, 2001 First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed.
Vsevolod Ivanov Ivanov, Ivanov, Vsevolod
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Invexity of constraint maps in mathematical programs
, 2004 International audienceIn this paper, we study a multiobjective programming problem with constraints of equality and inequality types which are maps from a Banach space into other Banach spaces.
Nguyen, Manh-Hung
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Generalized Invexity and Duality in Multiple Objective Variational Problems
Journal of Mathematical Analysis and Applications, 1995 (P) Minimize \(\int^b_a f(t, x(t), \dot x(t))dt\) subject to \(x(a)= x_0\), \(x(b)= x_1\), \(g(t, x(t), \dot x(t))\leq 0\), where \(f: [a,b] \times \mathbb{R}^n \times \mathbb{R}^n\to \mathbb{R}^p\) and \(g: [a, b] \times R^n \times R^n\to R^m\). Minimize here means find a weak minimum.
Mukherjee, R.N., Mishra, S.K.
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(F, ρ)-invexity of higher order for multiobjective fractional variational problem [PDF]
, 2018 Multiobjective fractional variational problem is considered and sufficient optimality conditions, characterizing efficiency of higher order, are obtained under the assumptions of (F,ρ)−invexity of higher order on the functionals involved.
Kumar, P., Sharma, B.
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Generalized Symmetric Duality for Multiobjective Variational Problems with Invexity
Journal of Mathematical Analysis and Applications, 1999 The paper deals with a new pair of symmetric multiobjective dual variational problems, which generalizes former duality models. Under invexity (some kind of generalized convexity) assumptions weak, strong, and inverse duality theorems are given.
Kim, Do Sang, Lee, Won Jung
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Generalized Continuous Nondifferentiable Fractional Programming Problems with Invexity
Journal of Mathematical Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mishra, S.K., Mukherjee, R.N.
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