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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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Upper Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
Axioms, 2023 In this paper, the necessary and sufficient conditions for the upper strict monotonicity point and the upper local uniform monotonicity point are given in the case of Musielak–Orlicz spaces equipped with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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Monotonicity properties for a ratio of finite many gamma functions
Advances in Difference Equations, 2020 In the paper, the authors consider a ratio of finite many gamma functions and find its monotonicity properties such as complete monotonicity, the Bernstein function property, and logarithmically complete monotonicity.
Feng Qi, Dongkyu Lim
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Local monotonicity coefficients in Orlicz sequence spaces equipped with the p-Amemiya norm
Journal of Inequalities and Applications, 2020 In this paper, the monotonicity is investigated with respect to Orlicz sequence space l Φ , p $l_{\varPhi , p}$ equipped with the p-Amemiya norm, and the necessary and sufficient condition is obtained to guarantee the uniform monotonicity, locally ...
Xin He, Yunan Cui, Henryk Hudzik
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Schur-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
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Polyhedral complementarity problem with quasimonotone decreasing mappings [PDF]
Yugoslav Journal of Operations Research, 2023 The fixed point problem of piecewise constant mappings in Rn is investigated. This is a polyhedral complementarity problem, which is a generalization of the linear complementarity problem.
Shmyrev Vadim I.
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Uniqueness and monotonicity of solutions for fractional equations with a gradient term
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we consider the following fractional equation with a gradient term $$(-\Delta)^{s} u(x)= f(x,u (x), \nabla u (x)),$$ in a bounded domain and the upper half space.
Pengyan Wang
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AIMS Mathematics, 2022 In this paper, we mainly prove monotonicity and convexity properties of certain functions involving zero-balanced Gaussian hypergeometric function F(a,b;a+b;x).
Ye-Cong Han, Chuan-Yu Cai, Ti-Ren Huang
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Journal of Optimization, Differential Equations and Their Applications, 2021 In this paper, we study the questions of the existence of global weak solutions and local strong solutions of paired stochastic functional differential equations in a Hilbert space, one of which is an equation with an unbounded operator, and the other is
Andrey O. Stanzhytskyi
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Generalized Nonlinear Variational Inclusions Involving (A,η)-Monotone Mappings in Hilbert Spaces
Fixed Point Theory and Applications, 2008 A new class of generalized nonlinear variational inclusions involving (A,η)-monotone mappings in the framework of Hilbert spaces is introduced and then based on the generalized resolvent operator technique associated with (A,η)-monotonicity, the ...
Yongfu Su +3 more
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