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A Brouwer fixed point theorem for graph endomorphisms
Graph theory graph endormorphisms Lefschetz number Euler characteristic Brouwer fixed point Dynamical zeta function
2012/6/21
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree ...
Andr´es Navas asked us if there is a fixed point theorem for all isometries of L1 that preserve a given bounded set. Unlike many known cases where a geometric argument applies, there is a fundam...
Some fixed point theorem in polish spaces
Fixed point Random space, Polish spaces Implicit relation
2010/9/25
In this paper we prove fixed point result in generating Polish space (random space which is more general than the other spaces) with implicit relations.
A General Fixed Point Theorem for Weakly Compatible Mappings in Compact Metric Spaces
compact metric space compatible mappings of type (A) compatible mappings of type (P) compatible mappings weakly compatible mappings implicit relation
2010/3/1
A general fixed point theorem for weakly compatible mappings satisfying an implicit relation in compact metric spaces is proved generalizing the results by [1],[3],[13],[14] and others.
Mathematical expectation of probabilistic metric spaces and Banach fixed point theorem
Probabilistic metric space Mathematical expectation
2010/9/14
The purpose of this article is to study the mathematical expectation of probabilistic metric space and by using the method of mathematical expectation to study the fixed point theorem of Banach in the...
A common fixed point theorem and its application in dynamic programming
Common fixed point contractive type mappings
2010/9/10
A common fixed point theorem for certain contractive type mappings is presented in this paper. As an application, the existence and uniqueness of common solution for a system of functional equations a...
A convergence theorem via a new fixed point theorem for generalized contractions
τ -function τ 0-metric Nadler’s fixed point theorem
2010/9/13
In this paper, we study the properties of τ 0-metrics introduced and studied by Du [1], and establish a new fixed point theorem and convergence theorem for τ 0-metrics.
Multiplicity results for second order nonlinear boundary value problems via Leggett-Williams fixed-point theorem
Boundary value problems Positive multiple solutions
2010/9/15
Multiplicity results for second order nonlinear boundary value problems via Leggett-Williams fixed-point theorem.
A Fixed Point Theorem and an Equilibrium Point of an Abstract Economy in H-spaces
H-space fixed points abstract economy
2007/12/11
In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theor...
期刊信息
篇名
A fixed point theorem and an equilibrium point of an abstract economy in H-spaces
语种
英文
撰写或编译
撰写
作者
侯吉成
第一作者单位
汕头大学数学系及烟台大学数学与信息科学系
刊物名称
Acta Mathematicae Applicatae Sinica
页面
Vol.19 No.3, 425...