Strongly Monotone Drawings of Planar Graphs [PDF]
International Symposium on Computational Geometry, 2016 A straight-line drawing of a graph is a monotone drawing if for each pair of vertices there is a path which is monotonically increasing in some direction, and it is called a strongly monotone drawing if the direction of monotonicity is given by the ...
Felsner, Stefan +5 more
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Doubly Optimal No-Regret Online Learning in Strongly Monotone Games with Bandit Feedback [PDF]
Operational Research, 2021 Doubly Optimal No-Regret Online Learning in Strongly Monotone Games with Bandit Feedback Curious about how players can learn and adapt in unknown games without knowing the game’s dynamics? In “Doubly Optimal No-Regret Online Learning in Strongly Monotone
Tianyi Lin +3 more
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Some Adaptive First-order Methods for Variational Inequalities with Relatively Strongly Monotone Operators and Generalized Smoothness [PDF]
OPTIMA, 2022 In this paper, we introduce some adaptive methods for solving variational inequalities with relatively strongly monotone operators. Firstly, we focus on the modification of the recently proposed, in smooth case [1], adaptive numerical method for ...
Titov, A. A. +4 more
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Krasnoselskii-type algorithm for zeros of strongly monotone Lipschitz maps in classical banach spaces. [PDF]
Springerplus, 2015 Let $$E=L_p$$E=Lp ...
Chidume CE, Bello AU, Usman B.
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Strong convergence theorems for strongly monotone mappings in Banach spaces [PDF]
, 2020 Let $E$ be a uniformly smooth and uniformly convex real Banach space and $E^*$ be its dual space. Suppose $A : E\rightarrow E^*$ is bounded, strongly monotone and satisfies the range condition such that $A^{-1}(0)\neq \emptyset$.
Mathew O. Aibinu, Oluwatosin Mewomo
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Iterative Algorithms for Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators [PDF]
Journal of Applied Mathematics, 2015 Consider the variational inequality of finding a point satisfying the property for all , where is a level set of a convex function defined on a real Hilbert space and is a boundedly Lipschitzian (i.e., Lipschitzian on bounded subsets of ) and strongly ...
Yang Cai-ping, Songnian He
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Strong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods.
Tadchai Yuying, Somyot Plubtieng
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A strong convergence theorem for generalized-Φ-strongly monotone maps, with applications
Fixed Point Theory and Applications, 2019 Let X be a uniformly convex and uniformly smooth real Banach space with dual space X∗ $X^{*}$. In this paper, a Mann-type iterative algorithm that approximates the zero of a generalized-Φ-strongly monotone map is constructed. A strong convergence theorem
C. E. Chidume, M. O. Nnakwe, A. Adamu
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Generalized Systems of Variational Inequalities and Projection Methods for Inverse‐Strongly Monotone Mappings [PDF]
, 2011 We introduce an iterative sequence for finding a common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for three inverse-strongly monotone mappings.
Wiyada Kumam +2 more
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Complexity of the relaxed Peaceman-Rachford splitting method for the sum of two maximal strongly monotone operators [PDF]
Computational optimization and applications, 2016 This paper considers the relaxed Peaceman–Rachford (PR) splitting method for finding an approximate solution of a monotone inclusion whose underlying operator consists of the sum of two maximal strongly monotone operators.
Renato D. C. Monteiro, Chee-Khian Sim
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