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On Convexity of Cooperative Games (Nonlinear Analysis and Convex Analysis)

On Convexity of Cooperative Games (Nonlinear Analysis and Convex Analysis)
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Convex Analysis

1970
R. Rockafellar
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Convex Analysis on Hadamard Spaces and Scaling Problems

Foundations of Computational Mathematics, 2022
In this paper, we address the bounded/unbounded determination of geodesically convex optimization on Hadamard spaces. In Euclidean convex optimization, the recession function is a basic tool to study the unboundedness and provides the domain of the ...
H. Hirai
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Convex analysis

International Series in Operations Research and Management Science, 2001
R. Vanderbei
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Stability Analysis for Delayed Neural Networks via a Generalized Reciprocally Convex Inequality

IEEE Transactions on Neural Networks and Learning Systems, 2022
This article deals with the stability of neural networks (NNs) with time-varying delay. First, a generalized reciprocally convex inequality (RCI) is presented, providing a tight bound for reciprocally convex combinations.
Huichao Lin, Hongbing Zeng, Xianming Zhang, Wei Wang   +3 more
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Discrete Convex Analysis and Its Applications in Operations: A Survey

Production and operations management, 2019
Discrete convexity, in particular, L ♮ ‐convexity and M ♮ ‐convexity, provides a critical opening to attack several classical problems in inventory theory, as well as many other operations problems that arise from more recent practices, for instance ...
Xin Chen, Menglong Li
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Formation Control of Multiagent Systems With Communication Noise: A Convex Analysis Approach

IEEE Transactions on Cybernetics, 2019
Under practical environments, some certain noises may arise from the communication of agents due to electromagnetic interference, sensor error, and other disturbances, which are usually modeled by additive noise in the relative position state between an ...
Zhen Li, Tingwen Huang, Yang Tang, Wenbing Zhang   +3 more
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Convex multiresolution analysis

Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), 1998
A standard wavelet multiresolution analysis can be defined via a sequence of projection operators onto a monotone sequence of closed vector subspaces possessing suitable invariance properties. We propose an extension of this framework in which the linear projection operators are replaced by nonlinear retractions onto convex sets.
P.L. Combettes, J.-C. Pesquet
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Convex Analysis and Beyond

Springer Series in Operations Research and Financial Engineering, 2022
B. Mordukhovich, Nguyen Mau Nam
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Abstract Convexity in Measure Theory and in Convex Analysis

Journal of Mathematical Sciences, 2003
The paper under report is a survey on the so-called ``abstract convex analysis'' and on some applications to optimization problems. If \(\Omega\) is a set and \(H\) is a class of functions from \(\Omega\) into \(\mathbb{R}\), a function \(f: \Omega\to\mathbb{R}\cup \{+\infty\}\) is called \(H\)-convex if it is the supremum of a family of functions ...
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