Results 31 to 40 of about 278 (165)
Fractal and Fractional, 2023 In order to show novel generalizations of mathematical inequality, fractional integral operators are frequently used. Fractional operators are used to simulate a broad range of scientific as well as engineering phenomena such as elasticity, viscous fluid,
Muhammad Tariq +2 more
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Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions
Fractal and Fractional, 2023 Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real valued functions, which have a great contribution to resolve the problems arising in the theory of interval analysis. In this article, we elaborate the convexities
Miguel Vivas-Cortez +5 more
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Invexity of supremum and infimum functions [PDF]
Bulletin of the Australian Mathematical Society, 2002 Under suitable assumptions we establish the formulas for calculating generalised gradients and generalised directional derivatives in the Clarke sense of the supremum and the infimum of an infinite family of Lipschitz functions. From these results we derive the results ensuring such a supremum or infimum are an invex function when all functions of the ...
Nguyen Xuan Ha, Do Van Luu
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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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Journal of Inequalities and Applications, 2016 The authors first introduce the concepts of generalized ( α , m ) $(\alpha,m)$ -preinvex function, generalized quasi m-preinvex function and explicitly ( α , m ) $(\alpha, m)$ -preinvex function, and then provide some interesting properties for the newly
TingSong Du +3 more
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Mixed Variational-like Inequality Problems in Abstract Convex Spaces
Results in Nonlinear Analysis, 2020 P.K. Das and G.C. Nayak [3] introduced the concept of generalized variational like inequalities in H-spaces in the presence of T-η-invex function. There the existence theorems of mixed generalized variational like inequalities are studied in H-spaces and
Wanbok Lee
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Arab Journal of Basic and Applied Sciences, 2019 In this paper, we have reviewed some penalty function methods for solving constrained optimization problems in the literature and proposed a continuously differentiable logarithmic penalty function which consists of the proposed logarithmic penalty ...
Mansur Hassan, Adam Baharum
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Mathematics, 2022 The concepts of convex and non-convex functions play a key role in the study of optimization. So, with the help of these ideas, some inequalities can also be established. Moreover, the principles of convexity and symmetry are inextricably linked.
Muhammad Bilal Khan +4 more
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(p,r)-Invex Sets and Functions
Journal of Mathematical Analysis and Applications, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal and Fractional, 2022 The purpose of this study is to prove the existence of fractional integral inclusions that are connected to the Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for χ-pre-invex fuzzy-interval-valued functions.
Muhammad Bilal Khan +4 more
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