Results 11 to 20 of about 6,730 (164)
Second-order subdifferential calculus with applications to tilt stability in optimization [PDF]
, 2011 The paper concerns the second-order generalized differentiation theory of variational analysis and new applications of this theory to some problems of constrained optimization in finitedimensional spaces. The main attention is paid to the so-called (full
Mordukhovich, B. S., Rockafellar, R. T.
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Mathematics, 2023 In this paper, we consider a generalized inexact Newton-Landweber iteration to solve nonlinear ill-posed inverse problems in Banach spaces, where the forward operator might not be Gâteaux differentiable.
Ruixue Gu, Hongsun Fu, Zhuoyue Wang
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Mathematics, 2019 The aim of this article is to study new types of generalized nonsmooth exponential type vector variational-like inequality problems involving Mordukhovich limiting subdifferential operator.
Syed Shakaib Irfan +4 more
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Results in Control and Optimization, 2023 In this article, the solvability, Trajectory(T-) and optimal controllability of stochastic integrodifferential inclusions with Clarke subdifferential along with deviated arguments and Poisson jumps are analyzed which are new and untreated topics in the ...
K. Ramkumar +2 more
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Weak directional closedness and generalized subdifferentials
Journal of Mathematical Analysis and Applications, 1991 Spingarn introduced the notion of a submonotone operator and showed that the Clarke subdifferential is submonotone if and only if it is semismooth (in the sense of Mifflin) and regular (in the sense of Clarke). In this article the authors introduce a property of operators referred to as weak directional closedness (WDC).
Burke, James V., Qi, Liqun
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Characterization of quadratic growth of extended-real-valued functions
Journal of Inequalities and Applications, 2016 This paper shows that the sharpest possible bound in the second-order growth condition of a proper lower semicontinuous function can be attained under some assumptions. We also establish a relationship among strong metric subregularity, quadratic growth,
Jin jiang Wang, Wen Song
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Gradient formulae for probability functions depending on a heterogenous family of constraints
Open Journal of Mathematical Optimization, 2021 Probability functions measure the degree of satisfaction of certain constraints that are impacted by decisions and uncertainty. Such functions appear in probability or chance constraints ensuring that the degree of satisfaction is sufficiently high ...
van Ackooij, Wim, Pérez-Aros, Pedro
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Directed Subdifferentiable Functions and the Directed Subdifferential without Delta-Convex Structure [PDF]
, 2013 We show that the directed subdifferential introduced for differences of convex (delta-convex, DC) functions by Baier and Farkhi can be constructed from the directional derivative without using any information on the DC structure of the function.
Baier, Robert +2 more
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Journal of Mathematics, 2021 Due to the importance of Yosida approximation operator, we generalized the variational inequality problem and its equivalent problems by using Yosida approximation operator. The aim of this work is to introduce and study a Yosida complementarity problem,
Rais Ahmad +3 more
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Convergence Rate Analysis of a Class of Uncertain Variational Inequalities
IEEE Access, 2023 Variational inequalities theory is a potent tool that can be employed to tackle diverse optimization problems, with applications spanning physics, economics, finance and beyond.
Cunlin Li, Teng Zhao, Hooi Min Yee
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