Results 71 to 80 of about 6,524,644 (115)

A fixed point theorem for condensing operators and applications to hammerstein integral equations in banach spaces

open access: yes, 1995
We prove a fixed point theorem of Purl Pera type for condensing operators. This will then be used to establish the existence of solutions to certain integral equations of Hammerstein type in Banach spaces.peer ...
O'Regan, D.
core   +1 more source

Fixed Point Theorems In Banach Space And 2-Banach Space

open access: yes, 2018
We generalize the result of Goebel and Zlotkiewiez [5] and also we prove fixed point theorems in Banach and 2-Banach spaces in this paper.
openaire   +2 more sources

Borsuk's antipodal and fixed-point theorems for correspondences without convex values [PDF]

open access: yes
We present an extension of Borsuk's antipodal theorem (existence of a zero) for antipodally approachable correspondences without convex values. This result is a generalization of Borsuk-Ulam Theorem and has a fixed-point equivalent formulation.Borsuk's ...
Jean-Marc Bonnisseau   +3 more
core  

On the equivalence between Perov fixed point theorem and Banach contraction principle

open access: yes, 2017
There are many results in the fixed point theory that were presented as generalizations of Banach theorem and other well-known fixed point theorems, but later proved equivalent to these results.
Marija Cvetkovic
core   +1 more source

A Discrete Multivariate Mean Value Theorem with Applications [PDF]

open access: yes
AMS classifications: 47H10; 54H25; 55M20; 90C33; 91B50Discrete set;mean value theorem;fixed point;algorithm;equilibrium ...
Yang, Z.F., Talman, A.J.J.
core  

The Fixed Point Theorem and Characterization of Bipolar Metric Completeness

open access: yes, 2020
In this article, we prove a fixed point theorem, which is generalization of Banach fixed point theorem and characterizes the metric completeness, for contravariant mapping on bipolar metric spaces.
Gürdal U., Özkan K.
core  

Approximate Fixed Point Theorems [PDF]

open access: yes
Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed.
Tijs, S.H., Brânzei, R., Torre, A.
core  

On a fixed-point theorem of Banach type [PDF]

open access: yesAnnales Polonici Mathematici, 1970
openaire   +1 more source

An equivalence between Schauder's fixed point theorem and periodic solutions in Banach spaces

open access: yes
Cid and Mawhin proved that Brouwer's fixed point theorem is equivalent to theexistence of periodic solutions for a suitable class of ordinary differential equations in \((\mathbb R^n)\).
Jorge Novoa
core   +1 more source

A fixed point theorem for condensing operators and applications to hammerstein integral equations in banach spaces

open access: yes, 2018
We prove a fixed point theorem of Purl Pera type for condensing operators. This will then be used to establish the existence of solutions to certain integral equations of Hammerstein type in Banach ...
O\u27Regan, D.
core  

Home - About - Disclaimer - Privacy