Results 41 to 50 of about 1,264 (229)

Up and Down $\mathit{h}$-Pre-Invex Fuzzy-Number Valued Mappings and Some Certain Fuzzy Integral Inequalities

Axioms, 2022
The objective of the current paper is to incorporate the new class and concepts of convexity and Hermite–Hadamard inequality with the fuzzy Riemann integral operators because almost all classical single-valued and interval-valued convex functions are ...
Muhammad Bilal Khan, Hatim Ghazi Zaini, Jorge E. Macías-Díaz, Mohamed S. Soliman   +3 more
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Weak quasi-invexity of nonsmooth functions

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niezgoda, Marek, Pečarić, Josip
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Modified Courant-Beltrami penalty function and a duality gap for invex optimization problem

International Journal for Simulation and Multidisciplinary Design Optimization, 2019
In this paper, we modified a Courant-Beltrami penalty function method for constrained optimization problem to study a duality for convex nonlinear mathematical programming problems. Karush-Kuhn-Tucker (KKT) optimality conditions for the penalized problem
Hassan Mansur, Baharum Adam
doaj   +1 more source

Second-Order Optimality Conditions in Cone-Constrained Vector Optimization with Arbitrary Nondifferentiable Functions

, 2014
In this paper, we introduce a new second-order directional derivative and a second-order subdifferential of Hadamard type for an arbitrary nondifferentiable function.
Ivanov, Vsevolod I.
core   +1 more source

Definable transformation to normal crossings over Henselian fields with separated analytic structure [PDF]

, 2019
We are concerned with rigid analytic geometry in the general setting of Henselian fields $K$ with separated analytic structure, whose theory was developed by Cluckers--Lipshitz--Robinson. It unifies earlier work and approaches of numerous mathematicians.
Nowak, Krzysztof Jan
core   +2 more sources

w-Invexity and optimality problem

Journal of Taibah University for Science
As the development of a family of preinvex functions, we define the w-invex set and a class of real functions. These are functions with the names w-preinvex, w-strictly preinvex, w-prequasi-invex, w-strictly prequasi-invex, w-semi-strictly prequasi-invex,
Musavvir Ali, Ehtesham Akhter
doaj   +1 more source

(p,r)-Invex Sets and Functions

Journal of Mathematical Analysis and Applications, 2001
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Higher-order optimality conditions with an arbitrary non-differentiable function

, 2016
In this paper, we introduce a new higher-order directional derivative and higher-order subdifferential of Hadamard type of a given proper extended real function.
Ivanov, Vsevolod I.
core   +1 more source

Differentiable Preinvex and Prequasiinvex Functions

Universal 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

On locally Lipschitz vector-valued invex functions [PDF]

Bulletin of the Australian Mathematical Society, 1993
The four types of invexity for locally Lipschitz vector-valued functions recently introduced by T. W. Reiland are studied in more detail. It is shown that the class of restricted K-invex in the limit functions is too large to obtain desired optimisation theorems and the other three classes are contained in the class of functions which are invex 0 in ...
Yen, N. D., Sach, P. H.
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