Results 91 to 100 of about 16,666 (188)

C* -algebra-valued Sb-metric spaces and applications to integral equations [PDF]

AUT Journal of Mathematics and Computing
We first introduce the concept of $C^{*}$-algebra-valued $S_{b}$-metric space, then we prove Banach contraction principle in this space. Finally, existence and uniqueness results for one type of integral equation is discussed.
Seyede Samira Razavi, Hashem Parvaneh Masiha   +1 more
doaj   +1 more source

On the fractional perturbed neutral integro-differential systems via deformable derivatives: an existence study

Boundary Value Problems
In this paper, we provide some appropriate conditions for the existence of solutions for a perturbed fractional neutral integro-differential system under the deformable derivative in a Banach space.
R. Sreedharan, S. Raja Balachandar, R. Udhayakumar, Sina Etemad, İbrahim Avcı, Shahram Rezapour   +5 more
doaj   +1 more source

Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]

Sahand Communications in Mathematical Analysis
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space.
Walid Benhadda, Abderrazak Kassidi, Ali El Mfadel, Elomari M'hamed   +3 more
doaj   +1 more source

Best Proximity Point Results in b-Metric Space and Application to Nonlinear Fractional Differential Equation

Mathematics, 2018
Based on the concepts of contractive conditions due to Suzuki (Suzuki, T., A generalized Banach contraction principle that characterizes metric completeness, Proceedings of the American Mathematical Society, 2008, 136, 1861⁻1869) and Jleli (Jleli ...
Azhar Hussain, Tanzeela Kanwal, Muhammad Adeel, Stojan Radenovic   +3 more
doaj   +1 more source

Revisiting of some outstanding metric fixed point theorems via E-contraction

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings.
Fulga Andreea, Karapınar Erdal
doaj   +1 more source

Partial b_{v}(s) and b_{v}({\theta}) metric spaces and related fixed point theorems

, 2018
In this paper, we introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}({\theta}) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular metric space, v-generalized metric space, partial metric space ...
Isik, Irfan, Karahan, Ibrahim
core  

Cones and gauges in complex spaces : Spectral gaps and complex Perron-Frobenius theory

, 2006
We introduce complex cones and associated projective gauges, generalizing a real Birkhoff cone and its Hilbert metric to complex vector spaces. We deduce a variety of spectral gap theorems in complex Banach spaces.
Rugh, Hans Henrik
core   +1 more source

Generalized Metric Spaces Do Not Have the Compatible Topology

Abstract and Applied Analysis, 2014
We study generalized metric spaces, which were introduced by Branciari (2000). In particular, generalized metric spaces do not necessarily have the compatible topology.
Tomonari Suzuki
doaj   +1 more source

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  

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