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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 +3 more
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w-Invexity and optimality problem
Journal of Taibah University for ScienceAs 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
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Invex programming problems with equality and inequality constraints [PDF]
, 2018 The class of functions is known as invex function (invariant convex) in the literature and the name derives from the fact that the convex like property of such functions remains invariant under all diffeomorphisms of [Formula presented] into [Formula ...
null Deepmala +5 more
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CONTINUOUS RELAXATION FOR COMBINATORIAL PROBLEMS - A STUDY OF CONVEX AND INVEX PROGRAMS [PDF]
, 2023 In this thesis, we study optimization problems which have a combinatorial aspect to them. Search space for such problems quickly grows large - exponentially - with respect to the problem dimension.
Adarsh Barik (15359902)
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Jensen-Type Inequalities for Invex Functions [PDF]
, 1999 Jensen's inequality for a real convex function f on a convex domain is generalised in several ways to vector functions with a cone inequality, and to invex functions generalizing convex ...
Craven, Bruce Desmond +2 more
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An η-approximation approach to duality in mathematical programming problems involving r-invex functions [PDF]
, 2006 An η-approximation approach introduced by Antczak [T. Antczak, A new method of solving nonlinear mathematical programming problems involving r-invex functions, J. Math. Anal. Appl.
Antczak, Tadeusz
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An eye on long‐duration spaceflight: Controversies, countermeasures and challenges
Experimental Physiology, EarlyView.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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Second-order duality for invex composite optimization [PDF]
, 2015 The second-order duality results for the invex composite optimization problem are studied. Its objective function is a composition of nonfinite valued differentiable invex and a vector valued functions. Several duality results are also discussed for both
Nahak, Chandal, Padhan, Saroj Kumar
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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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Generalized Geodesic Convexity on Riemannian Manifolds
Mathematics, 2019 We introduce log-preinvex and log-invex functions on a Riemannian manifold. Some properties and relationships of these functions are discussed. A characterization for the existence of a global minimum point of a mathematical programming problem is ...
Izhar Ahmad +2 more
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