Results 71 to 80 of about 16,666 (188)
Advances in Difference Equations, 2019 We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and Krasnoselskii’s fixed point theorem, some new sufficient ...
Juqing Liu, Kaihong Zhao
doaj +1 more source
A logical analysis of the generalized Banach contractions principle
Journal of Logic and Analysis, 2012 Let (X,d) be a complete metric space, m2 N\{0}, and 2 R with 0 < 1. A g-contraction is a mapping T :X! X such that for all x,y2X there is an i2 (1,m) with d(T i x,T i y)
openaire +3 more sources
Jensen's inequality for partial traces in von Neumann algebras
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Motivated by a recent result on finite‐dimensional Hilbert spaces, we prove Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non‐tracial) von Neumann algebras.
Mizanur Rahaman, Lyudmila Turowska
wiley +1 more source
On Existence of Solutions to the Caputo Type Fractional Order Three-Point Boundary Value Problems
International Journal of Analysis and Applications, 2016 In this paper, we establish the existence of solutions to the fractional order three-point boundary value problems by utilizing Banach contraction principle and Schaefer's fixed point theorem.
B.M.B. Krushna, K.R. Prasad
doaj +2 more sources
Characterization of ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces
Journal of Function Spaces, 2018 Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness.
Tomonari Suzuki
doaj +1 more source
Hyper-extensions in metric fixed point theory [PDF]
, 2014 We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of ...
Wiśnicki, Andrzej
core
Remarks on a generalization of Banach's principle of contraction mappings
Journal of Mathematical Analysis and Applications, 1965 Abstract : A generalization of Banach's principle of contraction mappings appears in a bood on fundamental analysis by Kolmogorov and Fomin. The purposes of this note is to show that this generalization is a special case of an elementary fact. (Author)
Chu, Sherwood C, Diaz, J.B
openaire +2 more sources
Banach contraction principle for cyclical mappings on partial metric spaces [PDF]
Fixed Point Theory and Applications, 2012 We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (Ilić et al. in Appl. Math. Lett. 24:1326-1330, 2011) on complete partial metric spaces can not be extended for cyclical mappings. Some examples are
Thabet Abdeljawad +3 more
openaire +3 more sources
Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
wiley +1 more source
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