Topic
Fixed-point space
About: Fixed-point space is a research topic. Over the lifetime, 50 publications have been published within this topic receiving 2098 citations.
Papers
TL;DR: This work proves some fixed point theorems in cone metric spaces, including results which generalize those from Haung and Zhang’s work, and shows that these maps have no nontrivial periodic points.
279 citations
TL;DR: It is shown that self-mappings S, T on a complete partial metric space X have a common fixed point if it is a generalized weak ϕ -contraction.
238 citations
TL;DR: In this paper, the authors proposed an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the fixed points of a strict pseudo-contraction mapping in the setting of real Hilbert spaces.
149 citations
TL;DR: A new iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and theSet of common fixed points of infinitely many nonexpansive mappings in a Hilbert space is introduced and a strong convergence theorem is proved.
94 citations
TL;DR: In this paper, the authors give dimension bounds on fixed point spaces of elements of exceptional algebraic groups, which they apply by passing to finite groups via a Frobenius morphism.
Abstract: Let G be a finite exceptional group of Lie type acting transitively on a set O. For x in G, the fixed point ratio of x is the proportion of elements of O which are fixed by x. We obtain new bounds for such fixed point ratios. When a point-stabilizer is parabolic we use character theory; and in other cases, we use results on an analogous problem for algebraic groups in Lawther, Liebeck & Seitz, 2002. These give dimension bounds on fixed point spaces of elements of exceptional algebraic groups, which we apply by passing to finite groups via a Frobenius morphism.
94 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2017 | 1 |
| 2016 | 1 |
| 2015 | 2 |
| 2013 | 1 |
| 2012 | 1 |
| 2011 | 6 |