A new extragradient algorithm with adaptive step-size for solving split equilibrium problems
Journal of Inequalities and Applications, 2021 He (J. Inequal. Appl. 2012:Article ID 162 2012) introduced the proximal point CQ algorithm (PPCQ) for solving the split equilibrium problem (SEP). However, the PPCQ converges weakly to a solution of the SEP and is restricted to monotone bifunctions.
Yusuf I. Suleiman +3 more
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Game theoretic controller synthesis for multi-robot motion planning Part I : Trajectory based algorithms [PDF]
, 2014 We consider a class of multi-robot motion planning problems where each robot is associated with multiple objectives and decoupled task specifications. The problems are formulated as an open-loop non-cooperative differential game.
Chaudhari, Pratik +3 more
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Approximations of Equilibrium Problems
SIAM Journal on Control and Optimization, 2012 In this paper we study the scalar equilibrium problem (EP). We employ variational convergences of bifunctions (lopsided convergence in the maxinf framework, hypo-convergence, and continuous convergence) to study this problem by means of an approximation method. This method allows us to obtain not only existence but also stability results.
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Densely Defined Equilibrium Problems [PDF]
Journal of Optimization Theory and Applications, 2015 In the present work we deal with set-valued equilibrium problems for which we provide sufficient conditions for the existence of a solution. The conditions that we consider are imposed not on the whole domain, but rather on a self segment-dense subset of it, a special type of dense subset.
László, Szilárd, Viorel, Adrian
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Common Solution for a Finite Family of Equilibrium Problems, Inclusion Problems and Fixed Points of a Finite Family of Nonexpansive Mappings in Hadamard Manifolds [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we present an iterative algorithm and prove that the sequence generated by this algorithm converges strongly to a common solution of a finite family of equilibrium problems, the quasi-variational inclusion problem and the set of common ...
Prashant Patel, Rahul Shukla
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Computing all solutions of Nash equilibrium problems with discrete strategy sets
, 2015 The Nash equilibrium problem is a widely used tool to model non-cooperative games. Many solution methods have been proposed in the literature to compute solutions of Nash equilibrium problems with continuous strategy sets, but, besides some specific ...
Sagratella, Simone
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Distributed Learning for Stochastic Generalized Nash Equilibrium Problems
, 2017 This work examines a stochastic formulation of the generalized Nash equilibrium problem (GNEP) where agents are subject to randomness in the environment of unknown statistical distribution.
Sayed, Ali H. +2 more
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Controllability distributions and systems approximations: a geometric approach [PDF]
, 1994 Given a nonlinear system we determine a relation at an equilibrium between controllability distributions defined for a nonlinear system and a Taylor series approximation of it. The value of such a relation is appreciated if we recall that the solvability
Nijmeijer, H., Ruiz, A.C.
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Functional renormalization group for non-equilibrium quantum many-body problems [PDF]
, 2006 We extend the concept of the functional renormalization for quantum many-body problems to non-equilibrium situations. Using a suitable generating functional based on the Keldysh approach, we derive a system of coupled differential equations for the $m ...
A. C. Hewson +15 more
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Peptide‐based ligand antagonists block a Vibrio cholerae adhesin
FEBS Letters, EarlyView.The structure of a peptide‐binding domain of the Vibrio cholerae adhesin FrhA was solved by X‐ray crystallography, revealing how the inhibitory peptide AGYTD binds tightly at its Ca2+‐coordinated pocket. Structure‐guided design incorporating D‐amino acids enhanced binding affinity, providing a foundation for developing anti‐adhesion therapeutics ...
Mingyu Wang +9 more
wiley +1 more source