Results 101 to 110 of about 16,666 (188)

On the H_ψ-quiver metric and the Banach contraction principle

Boletim da Sociedade Paranaense de Matemática
Paper aims to unify in a one-and-only theory several generalizations of the notion of metric as well as its probabilistic versions. We establish that the following well-known metrics are very special cases namely, Ultrametric, b-Metric, Probabilistic b-Metric, Branciari Metric and Probabilistic Generalized Metric.
Charif Harrafa, Abderrahim Mbarki
openaire   +1 more source

Quasicontraction Mappings in Modular Spaces without Δ₂-Condition

Fixed Point Theory and Applications, 2008
As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the -condition.
Khamsi MA
doaj  

Existence of non-oscillatory solutions to first-order neutral differential equations

Electronic Journal of Differential Equations, 2016
This article presents sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations having both delay and advance terms, known as mixed equations. Our main tool is the Banach contraction principle.
Tuncay Candan
doaj  

A Further Extension of Banach's Contraction Principle [PDF]

Proceedings of the American Mathematical Society, 1968
openaire   +2 more sources

Three alternative proofs of the Banach contraction principle

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
This study presents three alternative proofs of the Banach contraction principle (BCP). These proofs are derived from proofs of theorems that generalized the BCP, established in the existing studies. By simplifying the proofs of the generalized theorems, the alternative proofs of the BCP are obtained.
openaire   +1 more source

Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]

Sci Rep
Boumaaza M, Boutiara A, Djidel O, Guefaifia R, Boulaaras S.   +4 more
europepmc   +1 more source

Qualitative analysis and numerical simulation of ABC fractional impulsive differential systems with implicit nonlinear terms and integral boundary conditions. [PDF]

PLoS One
Sharif AA, Hamood M, Ghadle KP.
europepmc   +1 more source

Stability analysis of discrete delta fractional models under summation multipoint constraints for robust engineering systems. [PDF]

Sci Rep
Mohammed PO, Al-Sarairah E, Baleanu D, Yousif MA, Arab M.   +4 more
europepmc   +1 more source

Discrete stochastic maximal regularity. [PDF]

Math Ann
Evangelopoulos-Ntemiris F, Veraar M.
europepmc   +1 more source

Novel iterative method for the approximation of fixed point of a class of generalized ([Formula: see text])-nonexpansive mapping with applications to seir epidemic model. [PDF]

Sci Rep
Alharthi NH, Okeke GA, Udo AV, Alqahtani RT, Yusuf A.   +4 more
europepmc   +1 more source