Results 21 to 30 of about 278 (165)

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

open access: yesJournal 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   +1 more source

The Sufficiency of Solutions for Non-smooth Minimax Fractional Semi-Infinite Programming with (BK)−Invexity

open access: yesMathematics, 2023
Minimax fractional semi-infinite programming is an important research direction for semi-infinite programming, and has a wide range of applications, such as military allocation problems, economic theory, cooperative games, and other fields.
Hong Yang, Angang Cui
doaj   +1 more source

Fractional Hermite–Hadamard-Type Inequalities for Differentiable Preinvex Mappings and Applications to Modified Bessel and q-Digamma Functions

open access: yesMathematical and Computational Applications, 2023
The theory of convexity pertaining to fractional calculus is a well-established concept that has attracted significant attention in mathematics and various scientific disciplines for over a century.
Muhammad Tariq   +5 more
doaj   +1 more source

Variational inequality problems in H-spaces

open access: yesInternational 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   +1 more source

The method of Weighted Multi objective Fractional Linear Programming Problem (MOFLPP) [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2014
More theories and algorithms in non-linear programming with titles convexity (Convex). When the objective function is fractional function, will not have to have any swelling, but can get other good properties have a role in the development of algorithms ...
Waleed Khalid Jaber, Zeanab k. jabar
doaj   +1 more source

A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators

open access: yesAxioms, 2023
A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq   +2 more
doaj   +1 more source

Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds

open access: yesJournal of Applied Mathematics, 2014
We introduce a class of functions called geodesic B-preinvex and geodesic B-invex functions on Riemannian manifolds and generalize the notions to the so-called geodesic quasi/pseudo B-preinvex and geodesic quasi/pseudo B-invex functions.
Sheng-lan Chen   +2 more
doaj   +1 more source

Semi-invex functions and their subdifferentials [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1997
We introduce the notion of semi-invex function (non-smooth) and the associated subdifferential. We study their properties and establish the conditions for optimality in constrained and unconstrained minimisation problems.
Dutta, J., Vetrivel, V., Nanda, S.
openaire   +2 more sources

INFINITELY MANY INVEX FUNCTIONS WITHOUT CONVEXITY

open access: yesBulletin of informatics and cybernetics
The paper under review provides several examples of smooth and nonsmooth invex functions that are not necessarily convex. However, as the authors themselves mention, invexity has not yet found a significant application in mathematical optimization (or in any other field).
Shunsuke Shiraishi   +2 more
openaire   +2 more sources

Optimality Conditions in Nondifferentiable G-Invex Multiobjective Programming

open access: yesJournal 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   +2 more sources

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