Results 111 to 120 of about 245 (151)

Equilibrium Points in N-Person Games. [PDF]

open access: yesProc Natl Acad Sci U S A, 1950
Nash JF.
europepmc   +1 more source

Multi-valued mappings and Lefschetz fixed point theorems

open access: closedMathematical Proceedings of the Cambridge Philosophical Society, 1970
By a multi-valued map from a space X to a space Y we mean a map which assigns to each point x in X a non-empty subset F(x) of Y. When X = Y, a point x in X is a fized point for F if x is in F(x).
Michael J. Powers
openalex   +3 more sources

Lefschetz Fixed Point Theorem and Intersection Homology

open access: closed, 1984
This article is a summary of the essential ingredients in [3]. We will consider a placid self-map with isolated fixed points on a subanalytic pseudomanifold and show that the trace of the induced homomorphism on intersection homology may be interpreted as a sum of certain linking numbers at the fixed points.
Mark Goresky, Robert MacPherson
openalex   +2 more sources

On the Lefschetz fixed point theorem for Random multivalued mappinngs

open access: closedLIBERTAS MATHEMATICA (new series), 2013
The aim of this paper is to prove the Lefschetz xed point theorem for random multivalued compact absorbing contractions on abssolute neighbourhood multiretracts (ANMR) spaces.
Ján Andres, Lech Górniewicz
openalex   +2 more sources

Digital Lefschetz numbers and related fixed point theorems

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022
Motivated by the \(4\)-contractibility of \(SC_4^{2,4}\), we may consider the so-called strong \(k\)-homotopy in a digital setting, where \(SC_4^{2,4}\) means a simple closed \(4\)-curve with \(4\) elements in \(\mathbb{Z}^2\). Indeed, based on the literature, several types of homologies from the viewpoint of digital topology such as digital homology ...
Muhammad Sirajo Abdullahi   +2 more
openaire   +2 more sources

The Lefschetz Fixed Point Theorem for Involutions

1968
The purpose of this note is to show that the Lefschetz fixed point theorem holds for involutions on locally compact spaces. The Alexander-Spanier-Wallace cohomology with compact supports will be used. Let X be a locally compact space. The Lefschetz number Λ f of a map f: X → X is defined by $${A_{f}} = \sum\limits_{i} {{{\left( { - 1} \right)}^{i}}}
Hsu-Tung Ku, Mei-Chin Ku
openaire   +1 more source

The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued mappings

Journal of Fixed Point Theory and Applications, 2014
The authors consider the so-called admissible continuous set-valued maps with compact attractors and satisfying some compactness conditions stated in terms of measures of noncompactness and prove a general version of the Lefschetz-type fixed point theorem along with some corollaries.
Fakhar, Majid   +2 more
openaire   +1 more source

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