Results 1 to 10 of about 61 (55)
New Parameterized Inequalities for η-Quasiconvex Functions via (p, q)-Calculus [PDF]
Entropy, 2021 In this work, first, we consider novel parameterized identities for the left and right part of the (p,q)-analogue of Hermite–Hadamard inequality.
Humaira Kalsoom +3 more
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Some new k-Riemann–Liouville fractional integral inequalities associated with the strongly η-quasiconvex functions with modulus μ≥0 $\mu\geq0$ [PDF]
Journal of Inequalities and Applications, 2018 A new class of quasiconvexity called strongly η-quasiconvex function was introduced in (Awan et al. in Filomat 31(18):5783–5790, 2017). In this paper, we obtain some new k-Riemann–Liouville fractional integral inequalities associated with this class of ...
Eze R. Nwaeze +2 more
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On a new generalized symmetric vector equilibrium problem [PDF]
Journal of Inequalities and Applications, 2017 In this paper, a new form of the symmetric vector equilibrium problem is introduced and, by mixing properties of the nonlinear scalarization mapping and the maximal element lemma, an existence theorem for it is established.
Rahmatollah Lashkaripour +1 more
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Journal of Inequalities and Applications, 2022 This paper deals with the study of interval-valued semiinfinite optimization problems with equilibrium constraints (ISOPEC) using convexificators. First, we formulate Wolfe-type dual problem for (ISOPEC) and establish duality results between the (ISOPEC)
K. K. Lai +4 more
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Systems Science & Control Engineering, 2020 We propose a new two-level vertex-searching algorithm framework that finds a global optimal solution to the continuous bilevel linear fractional programming problem over a compact polyhedron, in which both the upper and the lower objectives are linear ...
Hui-Ju Chen
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General H-theorem and Entropies that Violate the Second Law
Entropy, 2014 H-theorem states that the entropy production is nonnegative and, therefore, the entropy of a closed system should monotonically change in time. In information processing, the entropy production is positive for random transformation of signals (the ...
Alexander N. Gorban
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Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper, we define some new generalizations of strongly convex functions of order m for locally Lipschitz functions using Clarke subdifferential.
Upadhyay Balendu B. +2 more
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Integral inequalities via generalized quasiconvexity with applications
Journal of Inequalities and Applications, 2019 Two classes of functions are hereby considered; namely, η-quasiconvex, and strongly η-quasiconvex functions. For the former, we establish some novel integral inequalities of the trapezoid kind for functions with second derivatives, while, for the latter,
Eze R. Nwaeze
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Dentable functions and radially uniform quasi-convexity
International Journal of Mathematics and Mathematical Sciences, 1978 In this paper we give a further result which states sufficient conditions for the theory of convergence of minimizing sequences to be applicable, develop the theory further, and give an application.
Carl G. Looney
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Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization
Abstract and Applied Analysis, 2018 Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative.
Abdessamad Oussarhan, Ikram Daidai
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