Results 101 to 110 of about 1,320,516 (202)

Existence, Uniqueness and Stability Analysis for a Coupled System of Sequential Hybrid Hilfer Fractional q-Duffing Equations

Mathematics
This paper establishes the existence, uniqueness, and Ulam–Hyers stability of solutions for a novel class of coupled sequential hybrid Hilfer fractional q-Duffing equations.
Mihoub Bouderbala, Souad Ayadi, Meltem Erden Ege, Ozgur Ege, Mohammed Rabih   +4 more
doaj   +1 more source

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

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

Path--Averaged Contractions: A New Generalization of the Banach Contraction Principle

We introduce a novel class of self-mappings on metric spaces, called \textbf{PA-contractions} (Path-Averaged Contractions), defined by an averaging condition over iterated distances. We prove that every continuous PA-contraction on a complete metric space has a unique fixed point, and the Picard iterates converge to it.
openaire   +2 more sources

Regularity of solutions of Sobolev type semilinear integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2003
In this article, we prove the existence of mild and classical solutions of Sobolev type semilinear integrodifferential equations of the form $$ frac{d}{dt}[Ex(t)] = A[x(t)+int_0^tF(t-s)x(s)ds]+f(t,x(t)) $$ in Banach spaces.
Krishnan Balachandran, Subbarayan Karunanithi   +1 more
doaj  

Perimetric contraction on quadrilaterals and related fixed point results [PDF]

In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions under which these mappings achieve fixed points in a complete metric space.
Mondal, Pratikshan, Dey, Lakshmi Kanta, Banerjee, Anish   +2 more
core   +1 more source

Banach Fixed Point Theorem

, 2020
U ovom završnom radu rećićemo nešto o Banachovom kontrakcijskom principu koji je poznat pod imenom Banachovom teorem o fiksnoj točki. Denirat ćemo potpunost metrič- kih prostora i navesti neke primjere.
Derner, Ana
core   +1 more source

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  

Fixed point results in cone Banach spaces

, 2018
In this paper, we give some fixed point results without the restriction conditions 2
Faruk Develi, YILDIRIM, İsa, DEVELİ, FARUK, İsa Yıldırım   +3 more
core   +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  

Genelleştirilmiş banach-büzülme prensibi kullanılarak yeni sabit nokta teoremlerinin elde edilmesi [PDF]

, 2019
In this study, a new three step iterative algorithm was introduced with the help of Jungck-contraction principle which is one of the remerkable generalizations of Banach-contraction principle. Also, the convergence and stability results were obtained for
Atalan, Yunus, Karakaya, Vatan
core