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On the maximum orders of elements of finite almost simple groups and primitive permutation groups
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When Will Every Maximal F-free Subposet Contain a Maximal Element?
Order, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bill Sands, Jia Shen
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Strong maximals: Elements with maximal score in partial orders
Spanish Economic Review, 2005 It is usually assumed that maximal elements are the best option for an agent. But there are situations in which we can observe that maximal elements are “different” one from another. This is the case of partial orders, in which one maximal element can be strictly preferred to almost every other element, whereas another maximal is not strictly preferred
Begoña Subiza, Josep E. Peris
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A new maximal element theorem in -space with applications
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weiping Guo
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Essential Stability of Solutions for Maximal Element Theorem with Applications
Journal of Optimization Theory and Applications, 2011In this paper, the essential stability of solutions for the maximal element theorem is examined proving that most problems in the sense of Baire category are essential. As immediate applications, one deduces the existence of essential components for Ky Fan's points sets and Nash equilibria.
Zhe Yang 0004, Yong Jian Pu
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Maximal elements with minimal logic
Information Processing Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence of maximal elements and equilibria
Publicationes Mathematicae Debrecen, 2022A maximal element of a multifunction \(F(x)\) is a point \(x_ 0\) with \(F(x_ 0)\) empty. Indeed, if the graph of \(F\) is generated by a relation, then the maximal elements of the relation coincide with the maximal elements of the multifunction. The paper establishes existence of maximal elements under a condition called weakly \(B\)-majorizing.
Mehta, G., Tarafdar, E.
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Maximal elements and equilibrium of abstract economy
Applied Mathematics and Mechanics, 2001The present paper continues similar results of the authors and introduces the notions of \(Q_\theta\)-majorant of \(\varnothing\) and \(Q_\theta\)-majorized correspondence in order to generalize the lower semi-continuous correspondences which are irreflexive and have open convex values.
Liu, Xinge, Cai, Haitao
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On the Number of Elements of Maximal Order in a Group
The American Mathematical Monthly, 2019In this note we show that a group with a finite number of elements of maximal order must be finite. In other words, there are no infinite groups with finitely many elements of maximal order.
William Cocke, Geetha Venkataraman
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