Results 81 to 90 of about 30,326 (205)
MathematicsThis paper develops a mathematical approach to the analysis of the stability of economic equilibria in nonsmooth models. The λ-Hölder apparatus of subdifferentials is used, which extends the class of systems under study beyond traditional smooth ...
Anna V. Aleshina +3 more
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Some Existence Theorems for Nonconvex Variational Inequalities Problems
Abstract and Applied Analysis, 2010 By using nonsmooth analysis knowledge, we provide the conditions for existence solutions of the variational inequalities problems in nonconvex setting. We also show that the strongly monotonic assumption of the mapping may not need for the existence of ...
Narin Petrot
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A Unified Convergence Analysis for Some Two-Point Type Methods for Nonsmooth Operators
Mathematics, 2019 The aim of this paper is the approximation of nonlinear equations using iterative methods. We present a unified convergence analysis for some two-point type methods.
Sergio Amat +4 more
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Advances in Nonlinear AnalysisThis work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids,
Cen Jinxia +3 more
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Applied Bionics and Biomechanics, 2016 Fish-like, dolphin-like, and bionic nonsmooth surfaces were employed in a hydraulic torque converter to achieve drag reduction and performance improvement, which were aimed at reducing profile loss, impacting loss and friction loss, respectively. YJSW335,
Liu Chunbao +4 more
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An introduction to non-smooth convex analysis via multiplicative derivative
Journal of Taibah University for Science, 2019 In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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Journal of Applied Mathematics, 2013 This paper investigates the adaptive synchronization of complex dynamical networks satisfying the local Lipschitz condition with switching topology. Based on differential inclusion and nonsmooth analysis, it is proved that all nodes can converge to the ...
Bo Liu +4 more
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A penalty barrier framework for nonconvex constrained optimization [PDF]
Journal of Nonsmooth Analysis and OptimizationWe consider minimization problems with structured objective function and smooth constraints, and present a flexible framework that combines the beneficial regularization effects of (exact) penalty and interior-point methods.
Alberto De Marchi, Andreas Themelis
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Nonsmooth analysis approach to Isaac′s equation
International Journal of Mathematics and Mathematical Sciences, 1992 Summary: We study Isaacs' equation \((*)\) \(w_ t(t,x)+ H(t,x,w_ x(t,x))= 0\) (\(H\) is a highly nonlinear function) whose ``natural'' solution is a value \(W(t,x)\) of a suitable differential game. It has been felt that even though \(W_ x(t,x)\) may be a discontinuous function or it may not exist everywhere, \(W(t,x)\) is a solution of \((*)\) in some
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Subdifferentiability spaces and nonsmooth analysis [PDF]
Bulletin of the American Mathematical Society, 1984 The author introduces a notion of a ''subdifferentiability Banach space'' characterized by subdifferentiability properties of the lower semicontinuous nonconvex functions defined on them. Properties of four classes of such spaces are described and three open questions, related to whether any Asplund space has a Fréchet differentiable norm, are stated ...
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