Results 31 to 40 of about 6,202,679 (144)
Geodesic B-Preinvex Functions and Multiobjective Optimization Problems on Riemannian Manifolds
Journal of Applied Mathematics, 2014 We introduce a class of functions called geodesic B-preinvex and geodesic B-invex functions on Riemannian manifolds and generalize the notions to the so-called geodesic quasi/pseudo B-preinvex and geodesic quasi/pseudo B-invex functions.
Sheng-lan Chen +2 more
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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Invex Programs: First Order Algorithms and Their Convergence [PDF]
, 2023 Invex programs are a special kind of non-convex problems which attain global minima at every stationary point. While classical first-order gradient descent methods can solve them, they converge very slowly.
Sra, Suvrit +2 more
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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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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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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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On the Continuity of the Kernel of Invex Functions
Journal of Mathematical Analysis and Applications, 1996 A differentiable real function is invex on a domain \(C\) if \(f(x)- f(u) \geq\eta(x,u)^T \nabla f(u)\) for all \(x,u\) in \(C\). Examples are given where the kernel \(\eta(.,.)\) is required to be continuous; and sufficient conditions are obtained for a continuous \(\eta\) to exist, or to not exist.
openaire +2 more sources
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
doaj
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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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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