Results 61 to 70 of about 1,104,947 (264)
A Fixed Point Theorem for Manifolds [PDF]
Proceedings of the American Mathematical Society, 1971 A Lefschetz type fixed point theorem is proved extending a recent theorem by Robert F. Brown. It deals with compact maps of the form f : ( M − U , X ) → ( M , M − U ) f:(M - U,X) \to (M,M - U) , where M M is an
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A selection and a fixed point theorem and an equilibrium point of an abstract economy
International Journal of Mathematics and Mathematical Sciences, 1995 A selection theorem and a fixed point theorem are proved. The fixed point theorem is then applied to prove the existence of an equilibrium point of an abstract economy.
T. Husain, E. Tarafdar
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On the Existence of Unstable Bumps in Neural Networks
, 2013 We study the neuronal field equation, a nonlinear integro-differential equation of Hammerstein type. By means of the Amann three fixed point theorem we prove the existence of bump solutions to this equation.
Kostrykin, Vadim, Oleynik, Anna
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An answer to a question of herings et al [PDF]
One answers to an open question of Herings et al. (2008), by proving that their fixed point theorem for discontinuous functions works for mappings defined on convex compact subset of $\R^n$, and not only polytopes. This fixed point theorem can be applied
Philippe Bich
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New directions in Nielsen-Reidemeister theory [PDF]
, 2008 The purpose of this expository paper is to present new directions in the classical Nielsen-Reidemeister fixed point theory. We describe twisted Burnside-Frobenius theorem, groups with $R_\infty$ \emph{property} and a connection between Nielsen fixed ...
Fel'shtyn, Alexander
core
On a fixed point theorem of Kirk
Journal of Mathematical Analysis and Applications, 2005 The author presents a new short and simple proof of the following theorem essentially due to \textit{W. A. Kirk} [J. Math. Anal. Appl. 277, No. 2, 645--650 (2003; Zbl 1022.47036)]. Let \((X, d)\) be a complete metric space, \(T: X\to X\) continuous map and \(\{\phi_n\}\) a sequence of continuous functions such that \(\phi_n: [0, \infty)\to [0, \infty)\)
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Operator type expansion-compression fixed point theorem
Electronic Journal of Differential Equations, 2011 This article presents an alternative to the compression and expansion fixed point theorems of functional type by using operators and functions to replace the functionals and constants that are used in functional compression and expansion fixed point ...
Douglas R. Anderson +3 more
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A fixed point theorem for contraction mappings
International Journal of Mathematics and Mathematical Sciences, 1982 Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
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Caristi Fixed Point Theorem in Metric Spaces with a Graph
, 2014 We discuss Caristi’s fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi’s fixed point theorem.
M. Alfuraidan, M. Khamsi
semanticscholar +1 more source
Fixed Point Theorem for Uncommuting Mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.
Salwa S. Abd, Alaa Abd-ullah
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