Results 51 to 60 of about 1,473 (117)

Fixed point theorem satisfying cyclical conditions in b-Menger spaces

Moroccan Journal of Pure and Applied Analysis, 2019
In this work, we prove a fixed point theorem for mapping with cyclical conditions using comparison function in b-Menger spaces. We support our results by an example.
Mbarki Abderrahim, Oubrahim Rachid
doaj   +1 more source

Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces

Topological Algebra and its Applications, 2022
The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman, Öztürk Mahpeyker   +1 more
doaj   +1 more source

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

Boyd and Wong Type Fixed Point Theorems in Partial Metric Spaces

Moroccan Journal of Pure and Applied Analysis, 2019
In this paper, we present fixed point results for Boyd and Wong type [3] generalized contractive condition in partial metric spaces. In particular, we generalize the fixed point results due to Akkouchi [1] in complete partial metric spaces in which the ...
Nziku Faustine, Kumar Santosh
doaj   +1 more source

A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

Annales Mathematicae Silesianae, 2020
A general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in Gp-metric spaces is proved.
Popa Valeriu
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

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

Fixed point theorems for cyclic contractive mappings via altering distance functions in metric-like spaces

Open Mathematics, 2016
In this paper, we introduce two different contractive conditions and prove some new fixed point theorems for cyclic (ψ,ϕ,φ)α-contractive mappings and α-(κ,φ)g-contractive mappings in complete metric-like spaces via altering distance functions.
Chen Jianhua, Huang Xianjiu, Li Shengjun
doaj   +1 more source

A Fixed Point Theorem for Discontinuous Functions [PDF]

AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J., Laan, G. van der, Talman, A.J.J., Yang, Z.F.   +3 more
core   +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