Results 11 to 20 of about 1,267,876 (189)

Even continuity and the Banach contraction principle [PDF]

Proceedings of the American Mathematical Society, 1978
In 1967, Philip R. Meyers established a nice converse to the Banach Contraction Mapping Theorem. We provide a counterexample to one of his corollaries and show that if X is a metrizable topological space, f a continuous self-map on X
Solomon, J. L., Janos, Ludvik
openaire   +2 more sources

A variant of Banach’s contraction principle in ordered Banach spaces

Proyecciones (Antofagasta)
In this article we establish a version of Banach’s contraction principle in ordered Banach spaces. This version is adapted to prove existence and uniqueness results for an integral equation or a boundary value problem depending on the derivative.
Benmezai, Abdelhamid
openaire   +2 more sources

A Generalisation of Contraction Principle in Metric Spaces [PDF]

Fixed Point Theory and Applications, 2009
Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
Binayak S. Choudhury, P. N. Dutta
doaj   +2 more sources

Optimal control of stochastic partial differential equations in Banach spaces [PDF]

, 2010
In this thesis we study optimal control problems in Banach spaces for stochastic partial differential equations. We investigate two different approaches.
Serrano Perdomo, Rafael Antonio
core   +7 more sources

A Generalisation of Contraction Principle in Metric Spaces

Fixed Point Theory and Applications, 2008
Here we introduce a generalisation of the Banach contraction mapping principle. We show that the result extends two existing generalisations of the same principle. We support our result by an example.
Choudhury BinayakS, Dutta PN
doaj   +1 more source

An amalgamation of the Banach spaces associated with James and Schreier, Part I : Banach-space structure. [PDF]

, 2010
We create a new family of Banach spaces, the James-Schreier spaces, by amalgamating two important classical Banach spaces: James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a counterexample to the Banach-Saks property
Laustsen, Niels Jakob, Bird, Alistair
core   +4 more sources

Application of Banach contraction principle to approximate the golden number [PDF]

, 2020
This work is devoted to the application of selected fixed point theorems in the problems of convergence of certain sequences to the golden number. It contains the theorem about the fixed point of so-called ψ-contraction specified on the closed interval ...
Barcz, Eugeniusz
core   +1 more source

An extension of Banach’s contraction principle [PDF]

Proceedings of the American Mathematical Society, 1961
1. A. Borel, Seminar on transformation groups, Annals of Mathematics Studies No. 46, Princeton, 1960. 2. G. E. Bredon, Frank Raymond, R. F. Williams, p-adic groups of transformations, to appear in Trans. Amer. Math. Soc. 3. D. Montgomery and L. Zippin, Topological transformation groups, New YorkLondon, Interscience, 1955. 4.
openaire   +1 more source

Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space

Nonlinear Analysis, 2023
In a recent paper, Khojasteh et al. presented a new collection of simulation functions, said Z-contraction. This form of contraction generalizes the Banach contraction and makes different types of nonlinear contractions.
Parvaneh Lo'Lo', Maryam Shams, Manuel De la Sen   +2 more
doaj   +1 more source

An application of Ramsey’s Theorem to the Banach Contraction Principle [PDF]

Proceedings of the American Mathematical Society, 2001
One of the most fundamental fixed-point theorems is Banach’s Contraction Principle, of which the following conjecture is a generalization. Generalized Banach Contraction Conjecture (GBCC). Let
Merryfield, James, Rothschild, Bruce, Stein, James D.   +2 more
openaire   +2 more sources