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New Versions of Some Results on Fixed Points in b-Metric Spaces
Mathematics, 2023 The main and the most important objective of this paper is to nominate some new versions of several well-known results about fixed-point theorems such as Caristi’s theorem, Pant et al.’s theorem and Karapınar et al.’s theorem in the case of b-metric ...
Zoran D. Mitrović +4 more
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Extended b-metric preserving functions
Revista IntegraciónIn a previous investigation, we present the current state of the family of functions that preserve the weak ultrametric UD and the set of maps that preserve the extended b–metric BE and their relation to those existing in the literature. In this article,
Reinaldo Martínez Cruz +2 more
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Teori Titik Tetap untuk Tipe Kannan yang Diperumum dalam Ruang b-Metrik Modular Lengkap
Jambura Journal of Mathematics, 2023 Some generalizations of Banach's contraction principle, which is a fixed-point theorem for contraction mapping in metric spaces, have developed rapidly in recent years.
Afifah Hayati +2 more
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Picard sequences in b-metric spaces [PDF]
Fixed Point Theory, 2020 © 2020, House of the Book of Science. All rights reserved. The purpose of this article is to provide much simpler and shorter proofs of some important results in the framework of b-metric spaces. Namely, we show that the given contractive condition implies b-Cauchyness of the corresponding Picard sequence.
Aleksić, Suzana +2 more
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2019 In this paper, we establish a fixed point theorem for generalized contraction mappings in b-metric spaces endowed with a digraph. As an application of this result, we obtain fixed points of cyclical mappings in the setting of b-metric spaces. Our results
Mohanta Sushanta Kumar, Biswas Deep
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Probabilistic b-metric spaces and nonlinear contractions [PDF]
Fixed Point Theory and Applications, 2017 AbstractThis work is for giving the probabilistic aspect to the knownb-metric spaces (Czerwik in Atti Semin. Mat. Fis. Univ. Modena 46(2):263-276, 1998), which leads to studying the fixed point property for nonlinear contractions in this new class of spaces.
Abderrahim Mbarki, Rachid Oubrahim
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Nonlinear Analysis, 2017 In this paper, we prove some fixed point results for T-contraction mappings in partially ordered b-metric spaces, that generalize the main results of [H. Huang, S. Radenovič, J.
Stojan Radenovic´ +2 more
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Partial b-Rectangular Metric Space with Some Results
Tikrit Journal of Pure Science, 2022 A new generalization of metric space called partial b-rectangular metric space is introduced. Also, the relation between this generalization and the other generalizations for example a b-rectangular metric space is given. Moreover, we have proved Banach
Noor Riyadh Adeeb
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Vojnotehnički Glasnik, 2017 The paper shows a new approach to proving the recent fixed point results in ordered b-metric as well as ordered metric spaces, established by several authors, with much shorter and nicer proofs. An example is given to illustrate our results.
Sumit C. Chandok +2 more
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Banach Fixed Point Theorem in Extended bv(s)-Metric Spaces
Computer Sciences & Mathematics Forum, 2023 We define the class of extended bv(s)-metric spaces by replacing the real number s≥1 with a strictly increasing continuous function ϕ in the definition of a bv(s)-metric space.
Anil Kumar
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