Fixed-point theorem

Known as: Fixed point theory, Fixpoint theorem, Fixed point lemma

In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under…

Papers overview

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2010

We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered…

2008

Problem statement: Over the past two decades the development of fixed point theory in metric spaces has attracted considerable…

2008

Perov’s theorem states that if (X, d) is a generalized complete metric space (the metric is d : X × X → R) and the operator T : X…

2003

Using a particular locally convex space and Schaefer’s theorem, a generalization of Krasnoselskii’s xed point Theorem is proved…

1994

It is shown that with a few exceptions (which are listed), any central element in a quasisimple finite group fixes some conjugacy…

1990

A fixed point theorem of Fisher and Sessa is generalized by replacing the requirements of commutativity and nonexpansiveness by…

1982

We prove the following result in this paper: Let (X, d) be a complete metric space and 7 be a space having the fixed point…

1976

We shall prove a fixed point theorem for a system of multival- ued mappings which generalizes the result obtained by the author…

1973

In this paper we present a generalization of the Eberlein, de Leeuw and Glicksberg decomposition theorem for weakly almost…

1945

Introduction. The purpose of this note is to sharpen a recent result of G. E. Schweigert [4]. It will be shown that the condition…