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Strong convergence theorem for common zero points of inverse strongly monotone mappings and common fixed points of generalized demimetric mappings

Optimization, 2021
In this paper, we introduce a new and efficient algorithm for finding a common element of the set of common fixed points of a finite family of generalized demimetric mappings and the set of common zero points of a finite family of inverse strongly ...
M. Eslamian
semanticscholar   +1 more source

Optimal No-Regret Learning in Strongly Monotone Games with Bandit Feedback

Social Science Research Network, 2021
We consider online no-regret learning in unknown games with bandit feedback, where each agent only observes its reward at each time – determined by all players’ current joint action – rather than its gradient. We focus on the class of smooth and strongly
Tianyi Lin   +3 more
semanticscholar   +1 more source

Solving Strongly Monotone Linear complementarity Problems

International Game Theory Review, 2013
Given a linear transformation L on a finite dimensional real inner product space V to itself and an element q ∈ V we consider the general linear complementarity problem LCP (L, K, q) on a proper cone K ⊆ V. We observe that the iterates generated by any closed algorithmic map will converge to a solution for LCP (L, K, q), whenever L is strongly monotone.
A. Chandrashekaran   +2 more
semanticscholar   +3 more sources

Strongly Polynomial FPTASes for Monotone Dynamic Programs

Algorithmica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tzvi Alon, Nir Halman
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Strongly exponential lower bounds for monotone computation

Proceedings of the 49th Annual ACM SIGACT Symposium on Theory of Computing, 2017
For a universal constant α > 0 we prove size lower bounds of 2α(n) for an explicit function in monotone NP in the following models of computation: monotone formulas, monotone switching networks, monotone span programs, and monotone comparator circuits, where n is the number of variables of the underlying function.
T. Pitassi, Robert Robere
semanticscholar   +2 more sources

On strongly quasilinear elliptic systems with weak monotonicity

Journal of Applied Analysis, 2021
Abstract In this paper, we prove existence results in the setting of Sobolev spaces for a strongly quasilinear elliptic system by means of Young measures and mild monotonicity assumptions.
Azroul, Elhoussine, Balaadich, Farah
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On Monotone and Strongly Monotone Vector Variational Inequalities

2000
By constructing an example we show that the solution sets of a strongly monotone vector variational inequality and of its relaxed inequality can be different from each other. A sufficient condition for the coincidence of these solution sets is given for general vector variational inequalities; connectedness and path-connectedness of the solution sets ...
Nguyen Dong Yen, Gue Myung Lee
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Optimality conditions for strongly monotone variational inequalities

Applied Mathematics & Optimization, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Wenbin, Rubio, J. E.
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Optimal Control of Strongly Monotone Variational Inequalities

SIAM Journal on Control and Optimization, 1988
The author considers nonconvex optimal control problems for general strongly monotone variational inequalities. The main result of the paper is the construction of necessary conditions of optimality. In the derivation of these conditions the problem is penalized; using variational tools as Ekeland's principle, the lopsided minimax theorem and a ...
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Some properties of strongly monotonically T 2 spaces

Applied Mathematics-A Journal of Chinese Universities, 2005
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