Results 21 to 30 of about 6,202,679 (144)
Weak quasi-invexity of nonsmooth functions
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Marek Niezgoda, Josip Pecaric
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Differentiable Preinvex and Prequasiinvex Functions
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
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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
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Semi-invex functions and their subdifferentials [PDF]
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.
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Invexity of supremum and infimum functions [PDF]
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
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E-B-invexity in E-differentiable mathematical programming
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
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Generalized Differentiable -Invex Functions and Their Applications in Optimization [PDF]
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
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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
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The method of Weighted Multi objective Fractional Linear Programming Problem (MOFLPP) [PDF]
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
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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
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