Results 41 to 50 of about 565 (171)
Invexity at a point: generalisations and classification [PDF]
Bulletin of the Australian Mathematical Society, 1993 This paper uses Clarke’s generalised directional derivative to describe several types of invexity, pseudoinvexity and quasiinvexity at a point of a nonlinear function. Direct implications of the relations existing between the various types of invexity and generalised invexity are presented, as well as a block diagram of these implications.
Mititelu, S., Stancu-Minasian, I. M.
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Journal of Optimization Theory and Applications, 2013 The paper was submitted to JOTA in December 2007 and practically accepted by the AE handling it in March 2008. Being a critical paper, the EiC asked the authors of the criticised articles to say their opinion.
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Bulletin of the Australian Mathematical Society, 1990 The concept of invexity is extended to nondifferentiable functions. Characterisations of nonsmooth invexity are derived as well as results in unconstrained and constrained optimisation and duality. The principal analytic tool is the generalised gradient of Clarke for Lipschitz functions.
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Results in Control and OptimizationIn this paper, under various generalized convexity assumptions, we investigate optimality criteria associated with a class of variational control models governed by Caputo and Riemann–Liouville fractional derivatives.
Savin Treanţă +2 more
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Efficiency and duality for multiobjective fractional variational problems with (ρ,b) - quasiinvexity [PDF]
Yugoslav Journal of Operations Research, 2009 The necessary conditions for (normal) efficient solutions to a class of multi-objective fractional variational problems (MFP) with nonlinear equality and inequality constraints are established using a parametric approach to relate efficient solutions of ...
Mititelu Ştefan, Stancu-Minasian I.M.
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An eye on long‐duration spaceflight: Controversies, countermeasures and challenges
Experimental Physiology, Volume 111, Issue 9, Page 4004-4014, 1 September 2026.Abstract Space flight‐associated neuroocular syndrome (SANS) is a consequence of long‐duration space flight and is detected in two‐thirds of astronauts. In‐flight, this can cause a change in the refraction of the eyes, requiring graded hypermetropic ‘superfocus adjustable’ glasses, optic nerve head oedema and choroidal folds.
Vincent Wing Sum Ng +1 more
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Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
Asian Journal of Control, Volume 28, Issue 1, Page 497-514, January 2026.Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari +2 more
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Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran +6 more
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Inequalities for Products of Two Kinds of Convexities and Consequent Results
Journal of Mathematics, Volume 2026, Issue 1, 2026.The product of two convex functions is convex under certain conditions, which have motivated extensions to generalized convexities. In the present paper, we establish new Hermite–Hadamard–type inequalities for the product of m‐convex and (α, m)‐convex functions.
Abdur Rehman +4 more
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Sufficient Efficiency Criteria for New Classes of Non-Convex Optimization Models
AxiomsIn this paper, we introduce and study a new class of minimization models driven by multiple integrals as cost functionals. Concretely, we formulate and establish some sufficient efficiency criteria for a feasible point in the considered optimization ...
Savin Treanţă, Omar Mutab Alsalami
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