Criterion for Generalized Weakly Fuzzy Invex Monotonocities [PDF]
The present paper deals with the concepts of generalized fuzzy invex monotonocities and generalized weakly fuzzy invex functions. Some necessary conditions for weakly fuzzy invex monotonocities are presented. Moreover, the concept of fuzzy strong invex monotonocities and fuzzy strong invex functions are also discussed. To strengthen our definitions, we
Meraj Ali Khan +2 more
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This paper aims at studying optimality conditions and duality theorems of an approximate quasi weakly efficient solution for a class of nonsmooth vector optimization problems (VOP). First, a necessary optimality condition to the problem (VOP) is established by using the Clarke subdifferential.
Wenjing Li, Guolin Yu, S. K. Mishra
wiley +1 more source
On nonsmooth mathematical programs with equilibrium constraints using generalized convexity [PDF]
In this paper, we derive the sufficient condition for global optimality for a nonsmooth mathematical program with equilibrium constraints involving generalized invexity.
Joshi Bhuwan Chandra +2 more
doaj +1 more source
Generalized Hermite–Hadamard‐Type Integral Inequalities for h‐Godunova–Levin Functions
The main objective of this article is to establish generalized fractional Hermite–Hadamard and related type integral inequalities for h‐Godunova–Levin convexity and h‐Godunova–Levin preinvexity with extended Wright generalized Bessel function acting as kernel. Moreover, Hermite–Hadamard‐type and trapezoid‐type inequalities for several known convexities
Rana Safdar Ali +6 more
wiley +1 more source
Erenumab for headaches in idiopathic intracranial hypertension: A prospective open‐label evaluation
Abstract Objective To determine the effectiveness of erenumab in treating headaches in idiopathic intracranial hypertension (IIH) in whom papilledema had resolved. Background Disability in IIH is predominantly driven by debilitating headaches with no evidence for the use of preventative therapies.
Andreas Yiangou +9 more
wiley +1 more source
Sufficiency and Duality in Control Problems with Generalized Invexity [PDF]
Summary: Sufficient optimality criteria are derived for a control problem under generalized invexity. A Mond-Weir type dual to the control problem is proposed and various duality theorems are validated under generalized invexity assumptions on functionals appearing in the problems.
Husain, Iqbal +2 more
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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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On nonsmooth multiobjective fractional programming problems involving (p, r)− ρ −(η ,θ)- invex functions [PDF]
A class of multiobjective fractional programming problems (MFP) is considered where the involved functions are locally Lipschitz. In order to deduce our main results, we introduce the definition of (p,r)−ρ −(η,θ)-invex class about the Clarke ...
Jayswal Anurag +2 more
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On Some New AB-Fractional Inclusion Relations
The theory of integral inequality has gained considerable attention due to its influential impact on several fields of mathematics and applied sciences. Over the years, numerous refinements, generalizations, and extensions of convexity have been explored
Bandar Bin-Mohsin +3 more
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Optimality and duality for a class of nondifferentiable minimax fractional programming problems [PDF]
Necessary and sufficient optimality conditions are established for a class of nondifferentiable minimax fractional programming problems with square root terms. Subsequently, we apply the optimality conditions to formulate a parametric dual problem and we
Bătătorescu Antoan +3 more
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