Results 21 to 30 of about 6,202,679 (144)

Weak quasi-invexity of nonsmooth functions

open access: yesApplied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marek Niezgoda, Josip Pecaric
openaire   +2 more sources

Differentiable Preinvex and Prequasiinvex Functions

open access: yesUniversal Journal of Mathematics and Applications, 2020
In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using this identity and the Hölder and Power mean integral inequalities we present new integral inequalities for functions whose ...
Huriye Kadakal
doaj   +1 more source

Optimality conditions in a class of generalized convex optimization problems with the multiple interval-valued objective function

open access: yesSystems and Soft Computing, 2023
In this paper, a new class of generalized convex optimization problems with a multiple interval-valued objective function is considered. The concepts of B-preinvexity, B-invexity, and the generalized of B-invexity are extended to interval-valued ...
Najeeb Abdulaleem
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

Invexity of supremum and infimum functions [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2002
Under suitable assumptions we establish the formulas for calculating generalised gradients and generalised directional derivatives in the Clarke sense of the supremum and the infimum of an infinite family of Lipschitz functions. From these results we derive the results ensuring such a supremum or infimum are an invex function when all functions of the ...
Nguyen Xuan Ha, Do Van Luu
openaire   +2 more sources

E-B-invexity in E-differentiable mathematical programming

open access: yesResults in Control and Optimization, 2021
In this paper, a new concept of generalized convexity is introduced for (not necessarily) differentiable optimization problem with E-differentiable functions. Namely, for an E-differentiable function, the concept of E-B-invexity is defined.
Najeeb Abdulaleem
doaj   +1 more source

Generalized Differentiable -Invex Functions and Their Applications in Optimization [PDF]

open access: yesAdvances in Operations Research, 2012
The concept of -convex function and its generalizations is studied with differentiability assumption. Generalized differentiable -convexity and generalized differentiable -invexity are used to derive the existence of optimal solution of a general optimization problem.
Sangeeta Jaiswal, Geetanjali Panda
openaire   +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

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

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

Home - About - Disclaimer - Privacy