Results 21 to 30 of about 884 (184)
Relaxation Subgradient Algorithms with Machine Learning Procedures
Mathematics, 2022 In the modern digital economy, optimal decision support systems, as well as machine learning systems, are becoming an integral part of production processes.
Vladimir Krutikov +4 more
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Journal of Inequalities and Applications, 2022 In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng +2 more
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Clarke Subgradients of Stratifiable Functions [PDF]
SIAM Journal on Optimization, 2007 We establish the following result: if the graph of a (nonsmooth) real-extended-valued function $f:\mathbb{R}^{n}\to \mathbb{R}\cup\{+\infty\}$ is closed and admits a Whitney stratification, then the norm of the gradient of $f$ at $x\in{dom}f$ relative to the stratum containing $x$ bounds from below all norms of Clarke subgradients of $f$ at $x$.
Jérôme Bolte +3 more
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Axioms, 2023 In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang +5 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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On interval-subgradient and no-good cuts [PDF]
Operations Research Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claudia D'Ambrosio +3 more
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On \(\beta\)-differentiability of norms
Journal of Numerical Analysis and Approximation Theory, 2004 In this note we give some characterizations for the differentiability with respect to a bornology of a continuous convex function. The special case of seminorms is treated.
Valeriu Anisiu
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A Refined Inertial-like Subgradient Method for Split Equality Problems
AppliedMathThis paper presents the convergence analysis of a newly proposed algorithm for approximating solutions to split equality variational inequality and fixed point problems in real Hilbert spaces.
Khushdil Ahmad +2 more
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A Quantised Push‐Sum Distributed Adaptive Momentum Algorithm for Optimisation Over Directed Networks
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT In this paper, we investigate a distributed constrained optimisation problem over directed networks. The agents in the networks conduct local computations and communications, endeavouring to collaboratively minimise the aggregation of all locally known convex cost functions subject to a global constraint set.
Qingguo Lü +6 more
wiley +1 more source
Fixed point quasiconvex subgradient method [PDF]
European Journal of Operational Research, 2020 Constrained quasiconvex optimization problems appear in many fields, such as economics, engineering, and management science. In particular, fractional programming, which models ratio indicators such as the profit/cost ratio as fractional objective functions, is an important instance.
Kazuhiro Hishinuma, Hideaki Iiduka
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