Zobrazeno 1 - 10
of 1 491
pro vyhledávání: '"$b$-metric space"'
Publikováno v:
AUT Journal of Mathematics and Computing, Vol 6, Iss 1, Pp 31-39 (2025)
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.
Externí odkaz:
https://doaj.org/article/e68ecff814d549beb905b5a1481d294f
Autor:
Muhammed Raji, Arvind Kumar Rajpoot, Laxmi Rathour, Lakshmi Narayan Mishra, Vishnu Narayan Mishra
Publikováno v:
Transactions on Fuzzy Sets and Systems, Vol 3, Iss 2, Pp 37-50 (2024)
The paper aims to introduce some fixed point results in the setting of sequential compact b-metric spaces to prove Eldeisten-Suzuki-type contraction for self-mappings. These contributions extend the existing literature on fixed point for ordere
Externí odkaz:
https://doaj.org/article/cb0a76454b8e4ef1b683bc75b463329c
Autor:
Khaled Aldwoah, Syed Khayyam Shah, Sadam Hussain, Mohammed A. Almalahi, Yagoub A. S. Arko, Manel Hleili
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-18 (2024)
Abstract The fixed point theory has been generalized mainly in two directions. One is the extension of the spaces, and the other is relaxing and generalizing the contractions. This paper aims to establish novel fixed point results of rational type ge
Externí odkaz:
https://doaj.org/article/f3794d18dc7347309a54159a5da8e186
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 475-488 (2024)
In this manuscript, we prove new extensions of Nashine, Wardowski, Feng-Liu, and Ćirić-type contractive inequalities using orbitally lower semi-continuous functions in an orbitally complete bb-metric space. We accomplish new multivalued common fixe
Externí odkaz:
https://doaj.org/article/fad21c811d98450eaa26addd61c98326
Autor:
Dan Ricinschi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18163-18185 (2024)
This research investigated different types of convex contractions in the setting of extended $ b $-metric spaces from the point of view of the existence and uniqueness of their fixed points. The assumptions imposed on involved mappings refer to conve
Externí odkaz:
https://doaj.org/article/2822a25507ba4c93ad0bd7f68c2ec303
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 17184-17204 (2024)
In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixed-point results that involve rational and product terms within
Externí odkaz:
https://doaj.org/article/5e01d68ff2a74bb5952ac262e6d145b2
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-12 (2024)
Abstract The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are gi
Externí odkaz:
https://doaj.org/article/1ba44ad1c27740478f4a50553d277628
Publikováno v:
Vojnotehnički Glasnik, Vol 72, Iss 2, Pp 563-582 (2024)
Introduction/purpose: The paper presents a novel approach to certain well-established fixed point theorems for multivalued probabilistic contractions in b-Menger spaces, leveraging the boundedness of the orbits. The aim was to generalize and enhance
Externí odkaz:
https://doaj.org/article/f19c83cf61044cc69bf56364c30bf9ab
Autor:
Muhammad Sarwar, Muhammad Fawad, Muhammad Rashid, Zoran D. Mitrović, Qian-Qian Zhang, Nabil Mlaiki
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 14043-14061 (2024)
In this manuscript, utilizing interpolative contractions with fractional forms, some unique fixed-point results were studied in the context of extended $ b $-metric spaces. For the validity of the presented results some examples are given. In the las
Externí odkaz:
https://doaj.org/article/b7e40d06d195419f8bb47eaeb649e5f0
Autor:
Christopher Middlebrook, Wenying Feng
Publikováno v:
Fractal and Fractional, Vol 8, Iss 11, p 674 (2024)
We study fixed-point theorems of contractive mappings in b-metric space, cone b-metric space, and the newly introduced extended b-metric space. To generalize an existence and uniqueness result for the so-called Φs functions in the b-metric space to
Externí odkaz:
https://doaj.org/article/b56929e1dba444e2af1730c2631c284f