Results 51 to 60 of about 4,283,472 (107)

Comparison Function and Boyd–Wong–Type Contractions in Kaleva–Seikkala’s Type Fuzzy b‐Metric Space

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
In this article, we study the existence and uniqueness of fixed points for mappings in Kaleva–Seikkala’s type fuzzy b‐metric spaces. Nonlinear contractions of the comparison function and Boyd–Wong’s type are considered, and several new fixed point theorems for these contractions in complete Kaleva‐Seikkala’s type fuzzy b‐metric spaces are presented. It
Jiaojiao Wu, Fei He, Shu-fang Li, Xinyan Zhang, Samuel Nicolay   +4 more
wiley   +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

Generalized α − ψ Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps.
Manoj Kumar, Swati Parashar, Pankaj Kumar, Rahul Shukla, Watcharaporn Cholamjiak   +4 more
wiley   +1 more source

Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz

Demonstratio Mathematica, 2019
Let (X, ⊥) be an orthogonality module in the sense of Rätz over a unital Banach algebra A and Y be a real Banach module over A. In this paper, we apply the alternative fixed point theorem for proving the Hyers-Ulam stability of the orthogonally ...
Aiemsomboon Laddawan, Sintunavarat Wutiphol   +1 more
doaj   +1 more source

An Introduction to C∗‐Algebra‐Valued Metric‐Like Space With Related Applications

Journal of Mathematics, Volume 2025, Issue 1, 2025.
It is well‐known that the main objective of metric‐like spaces is to pave way for the development of fixed point results in nonstandard framework, such as in nonsymmetric distance structures, where self‐distances might be nonzero. This objective becomes more achievable when the range set of the distance function is a C∗‐algebra. Unfortunately, the idea
Zulaihatu Tijjani Ahmad, Mohammed Shehu Shagari, Maha Noorwali, Abba Ali Tijjani, Afis Saliu, Pramita Mishra   +5 more
wiley   +1 more source

Evidence informed practice in Primary Education: an unintended but valuable resource

, 2009
This considers the potential of the Teacher Training Resource Bank (TTRB) as a resource for professional development with primary education. Although, the portal was designed with the needs of Teacher Education in mind, the resource has been evaluated as
Blamires, M., National Association of Primary Education   +1 more
core  

New common fixed point results in digital metric space

Demonstratio Mathematica
In this paper, we develop a new common fixed-point theorem tailored specifically to digital metric spaces, where the discrete nature of pixel grids demands specialized distance and contraction concepts.
Özkapu Aybala Sevde, Acar Özlem
doaj   +1 more source

Tripled and coincidence fixed point theorems for contractive mappings satisfying Φ-maps in partially ordered metric spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : X → X satisfying a nonlinear contraction based on ϕ-maps. Our results extend and improve many existing results in the literature.
Shatanawi Wasfi, Postolache Mihai, Mustafa Zead   +2 more
doaj   +1 more source

New Common Fixed Point Results in Ultrametric Spaces Utilizing Various Contractions and Their Applications to Integral Equations

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This study explores fixed points and common fixed points for self‐mappings on ultrametric spaces, regardless of the assumption of spherical completeness. By presenting generalized contractive conditions based on the p‐adic contraction, we extend classical fixed point results and illustrate their practical use through meticulously crafted examples.
N. Uthirasamy, Balaanandhan Radhakrishnan, Kandhasamy Tamilvanan, Uma Jayaraman, Masho Jima Kabeto, Guotao Wang   +5 more
wiley   +1 more source

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source