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检索条件"主题词=Generalized Convex Functions"
44 条 记 录,以下是31-40 订阅
convexifactors, generalized convexity and vector optimization
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OPTIMIZATION 2004年 第1期53卷 77-94页
作者: Dutta, J Chandra, S Indian Inst Technol Dept Math Kanpur 208016 Uttar Pradesh India Indian Inst Technol Dept Math New Delhi 110016 India
In this article we study a recently introduced notion of non-smooth analysis, namely convexifactors. We study some properties of the convexifactors and introduce two new chain rules. A new notion of non-smooth pseudoc... 详细信息
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Order-preserving transformations and applications
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2003年 第2期118卷 275-293页
作者: Cambini, A Luc, DT Martein, L Univ Pisa Pisa Italy Univ Avignon Avignon France Inst Math Hanoi 10000 Vietnam
In this paper, we study the effects of a linear transformation on the partial order relations that are generated by a closed and convex cone in a finite-dimensional space. Sufficient conditions are provided for a tran... 详细信息
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Favard's inequality on average values of convex functions
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MATHEMATICAL AND COMPUTER MODELLING 2003年 第12-13期37卷 1383-1391页
作者: Wulbert, DE Univ Calif San Diego Dept Math La Jolla CA 92093 USA
Let f greater than or equal to 0 be a continuous, concave function on [a, b]. Let (f) over bar = (1/(b - a)) integral(a)(b) f (t) dt. Favard's inequality is that, when delta = (f) over bar 1/2delta integral((f) ov... 详细信息
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A method for calculating subdifferential of convex vector functions
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Journal of Statistics and Management Systems 2003年 第1期6卷 155-170页
generalized convex vector functions are characterized by using order preserving transformations and some calculus rules for subdifferential of convex vector functions are obtained.
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Minimax results and finite-dimensional separation
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2002年 第2期113卷 409-421页
作者: Frenk, JFB Kassay, G Erasmus Univ Inst Econometr NL-3000 DR Rotterdam Netherlands Univ Babes Bolyai Fac Math & Informat R-3400 Cluj Napoca Romania
In this paper, we review and unify some classes of generalized convex functions introduced by different authors to prove minimax results in infinite-dimensional spaces and show the relations between these classes. We ... 详细信息
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Optimality conditions and duality for a class of nonlinear fractional programming problems
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 2001年 第3期110卷 611-619页
作者: Liang, ZA Huang, HX Pardalos, PM Inner Mongolia Univ Coll Sci & Technol Dept Math Hohhot Peoples R China Tsing Hua Univ Dept Math Sci Beijing 100084 Peoples R China Univ Florida Dept Ind & Syst Engn Ctr Appl Optimizat Gainesville FL 32611 USA
In this paper, we present sufficient optimality conditions and duality results for a class of nonlinear fractional programming problems. Our results are based on the properties of sublinear functionals and generalized... 详细信息
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Hölder-Continuity of certain generalized convex functions
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Optimization 1994年 第3-4期28卷 201-209页
作者: Breckner, W.W. Babes-Bolyai-Unitersity Cluj-Napoca Department of Mathematics Str. Kogălniceanu 1 RO-3400 Cluj-Napoca Romania
It is proved that for a rationally s-convex function continuity and local s-HOLDER-continuity are equivalent at each interior point of the domain of definition of the function. Furthermore, it is shown that a rational... 详细信息
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Optimality conditions and duality in multiple objective programming involving semilocally convex and related functions
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Optimization 1996年 第3期36卷 219-230页
作者: Preda, V. University of Bucharest Mathematics Faculty Bucharest 14 Academiei Street Romania
A nonlinear multiple objective programming problem is considered where the functions involved are nondifferentiable. By considering the concept of weak minima, the Fritz John type and Karush-Kuhn-Tucker type necessary... 详细信息
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generalized convex-functions AND VECTOR VARIATIONAL-INEQUALITIES
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1993年 第3期79卷 563-580页
作者: YANG, XQ 1. School of Mathematics University of New South Wales Kensington New South Wales Australia
In this paper, (alpha, phi, Q)-invexity is introduced, where alpha: X x X --> int R+m, phi: X x X --> X, X is a Banach space, Q is a convex cone of R(m). This unifies the properties of many classes of functions,... 详细信息
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CHARACTERIZATIONS OF generalized MONOTONE MAPS
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JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 1993年 第3期76卷 399-413页
作者: KARAMARDIAN, S SCHAIBLE, S CROUZEIX, JP UNIV CLERMONT FERRAND CLERMONT FERRANDFRANCE
This paper is a sequel to Ref. 1 in which several kinds of generalized monotonicity were introduced for maps. They were related to generalized convexity properties of functions in the case of gradient maps. In the pre... 详细信息
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