Results 31 to 40 of about 1,100 (150)

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

Common fixed point theorems of contractive‐type mappings

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 53, Page 2809-2819, 2004., 2004
Using the concept of D‐metric we prove some common fixed point theorems for generalized contractive mappings on a complete D‐metric space. Our results extend, improve, and unify results of Fisher and Ćirić.
Hee Soo Park, Jeong Sheok Ume
wiley   +1 more source

On relation-theoretic F−contractions and applications in F−metric spaces

Acta Universitatis Sapientiae: Mathematica, 2023
The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation R and to prove results for its fixed point.
Tomar Anita, Joshi Meena, Padaliya S. K.
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

Coincidence Best Proximity Points of Proximal Berinde G‐Contractions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Recently, a concept of proximal Berinde contractions was introduced and applied to prove the existence of coincidence best proximity points in metric spaces. In this article, we established a new approach to show that these results can be obtained from a fixed point theorem for multivalued (β, L)‐weak contractions.
Moosa Gabeleh, Jack Markin, Dengfeng Lu
wiley   +1 more source

Corrigendum to “On Fixed Point Property under Lipschitz and Uniform Embeddings”

, 2019
Journal of Function Spaces, Volume 2019, Issue 1, 2019.
Jichao Zhang, Lingxin Bao, Lili Su
wiley   +1 more source

On a functional equation that has the quadratic-multiplicative property

Open Mathematics, 2020
In this article, we obtain the general solution and prove the Hyers-Ulam stability of the following quadratic-multiplicative functional equation:ϕ(st−uv)+ϕ(sv+tu)=[ϕ(s)+ϕ(u)][ϕ(t)+ϕ(v)]\phi (st-uv)+\phi (sv+tu)={[}\phi (s)+\phi (u)]{[}\phi (t)+\phi (v ...
Park Choonkil, Tamilvanan Kandhasamy, Balasubramanian Ganapathy, Noori Batool, Najati Abbas   +4 more
doaj   +1 more source

Coincidence Point Results for Self‐Mapping With Extended Rational Contraction in Partially Ordered Ultrametric Spaces Using p‐Adic Distance

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper aims to investigate new coincidence point theorems for self‐maps under an extended rational contraction. Our approach uses the p‐adic distance in partially ordered ultrametric spaces. Furthermore, to illustrate our major discoveries, we give a comprehensive numerical analysis.
Balaanandhan Radhakrishnan, Uma Jayaraman, Shreefa O. Hilali, M. Kameswari, Mohammed Alhagyan, Kandhasamy Tamilvanan, Ameni Gargouri, Ömer Kişi   +7 more
wiley   +1 more source

KKM and KY fan theorems in modular function spaces

Fixed Point Theory and Applications, 2011
In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul, Al-Sulami Hamid, Khamsi Mohamed   +2 more
doaj  

Solving Periodic Boundary Value Problem via Product Type Rational Contractions

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this paper, we define some new product types of rational contractions for single‐valued mappings in generalized metric spaces. We prove the uniqueness of fixed point (FP) and common fixed point (CFP) theorems under the new product types of rational contractions in generalized metric spaces with the application of boundary value problem.
Saif Ur Rehman, Abeeda Ahmad, Mohammed M. M. Jaradat, Sidra Akbar, Aneeza Hafeez, Faiz Ullah, Nawab Hussain   +6 more
wiley   +1 more source