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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… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
In this paper, we study some results of existence and uniqueness of fixed points for a class of mappings satisfying an inequality… 
2010
2010
We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered… 
Highly Cited
2008
Highly Cited
2008
AbstractIn this paper, we introduce the new concepts of subcompatibility andsubsequential continuity which are respectively… 
2008
2008
Problem statement: Over the past two decades the development of fixed point theory in metric spaces has attracted considerable… 
2003
2003
Using a particular locally convex space and Schaefer’s theorem, a generalization of Krasnoselskii’s xed point Theorem is proved… 
1990
1990
A fixed point theorem of Fisher and Sessa is generalized by replacing the requirements of commutativity and nonexpansiveness by… 
1982
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… 
1981
1981
1* Introduction* The general problem with which we are concerned is: classify the weakly compact convex subsets K of a Banach… 
1976
1976
We shall prove a fixed point theorem for a system of multival- ued mappings which generalizes the result obtained by the author… 
1945
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…