جستجوی مقالات مرتبط با کلیدواژه « $b$-metric space » در نشریات گروه « ریاضی »
تکرار جستجوی کلیدواژه « $b$-metric space » در نشریات گروه « علوم پایه »-
International Journal Of Nonlinear Analysis And Applications, Volume:16 Issue: 1, Jan 2025, PP 245 -251The goal of this research article is to study some fixed point results in dislocated quasi metric spaces. These results are proved for certain generalized contraction conditions involving linear and rational expressions. Our results extend and generalize some of the well-known fixed point results of the literature available in fixed point theory. Suitable examples of the established results are also given.Keywords: Fixed Point, Contraction Mapping, Complete Metric Space, Dislocated Quasi Metric Space, Cauchy Sequence}
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International Journal Of Nonlinear Analysis And Applications, Volume:15 Issue: 12, Dec 2024, PP 369 -384In 1984, Khan et al. established some fixed point theorems in complete and compact metric spaces by altering distance functions. In 2020, Lotfy et al. introduced the $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces applied to fractional integral equations. In 2022, Roy et al. described the notion of Branciari $ S_b$-metric space and related fixed point theorems with an application. In this paper, we introduce the notion of fixed point theorems for $\alpha_{*}$-$\psi$-$\beta_{i}$-contractive set-valued mappings on Branciari $S_{b}$-metric space with application to fractional integral equations.Keywords: $Alpha, {*}$-$Psi$-$Beta, {I}$-Contractive, Branciari $S, {B}$-Metric Space, Fixed Points, Fractional Integral Equations}
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This paper extends the notion of weak convergence in metric spaces to the case of S-metric spaces. Moreover, some results on the weak convergence of fixed point iterations of Banach’s, Kannan’s, Chatterjea’s, Reich’s, Hardy and Roger’s types of contractions on S-metric spaces are obtained. In addition, an example is presented to demonstrate our primary result
Keywords: Weak convergence, Semi S-metric space, Directed se} -
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 12, Dec 2023, PP 105 -120In [24], Khan et al. established some fixed point theorems in complete and compact metric spaces by using altering distance functions. In [16] Gordji et al. described the notion of orthogonal set and orthogonal metric spaces. In [18] Gungor et al. established fixed point theorems on orthogonal metric spaces via altering distance functions. In [25] Lotfy et al introduced the notion of $\alpha_{*}$-$\psi$-common rational type mappings on generalized metric spaces with application to fractional integral equations. In [28] K. Royy et al. described the notion of Branciari $S_b$-metric space and related fixed point theorems with an application. In this paper, we introduce the notion of the common fixed point ($\alpha_*$-$\psi$-$\beta_{i}$)-contractive set-valued mappings on orthogonal Branciari $S_{b}$-metric space with the application of the existence of a unique solution to an initial value problem.Keywords: $, alpha, *$-$, psi$-$, beta, {i}$)-contractive, Branciari $S, {b}$-metric space, Common fixed point, Solution to an initial value problem}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 9, Sep 2023, PP 345 -356In this paper, we extend very recent fixed point theorems in the setting of ordered non-Archimedean fuzzy metric spaces. We present some fixed point theorems for self-mappings satisfying generalized $(\phi,\psi)$-contraction conditions in partially ordered complete non-Archimedean fuzzy metric spaces. On the other hand, we consider a more general class of auxiliary functions in the contractivity condition and we extend recently fixed point theorems for complete ordered non-Archimedean fuzzy metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper.Keywords: Ordered fuzzy metric space, Coincidence, Common fixed point, Compatible, Weakly compatible functions, weakly increasing}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 7, Jul 2023, PP 21 -34In this paper, a common fixed point theorem for a generalized hybrid contraction map in weak partial metric space is proved. We also present illustrated examples in support of our result. Moreover, we provide a homotopy result as an application of our result.Keywords: Generalized Hybrid contraction mapping, Weak Partial metric space, Partial Hausdorff metric, Coincidence point, common fixed point}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 4, Apr 2023, PP 77 -85
We prove a common coupled fixed point theorem on fuzzy bipolar metric spaces. An application of our key results is given to solve a system of integral equations. Our results generalize and expand the literature’s well-known results.
Keywords: Fuzzy bipolar metric space, common coupled fixed point, w-compatible} -
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 4, Apr 2023, PP 1 -14
In this article, we introduce the concept of ℜ-control fuzzy metric spaces. We prove some fixed point results in the sense of ℜ-control fuzzy metric spaces and furnish our work with several non-trivial examples to verify the validity of the proposed results. In the end, we incorporate this work with an application to solve an integral equation.
Keywords: ordered theoretic set, fuzzy metric space, control fuzzy metric space, integral equation} -
International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 2, Feb 2023, PP 87 -100In this paper, we further develop the notion of cyclic $(\alpha, \beta)$-admissible mappings introduced in (\cite{tac}, S. Chandok, K. Tas, A. H. Ansari, \emph{Some fixed point results for TAC-type contractive mappings,} J. Function spaces, 2016, Article ID 1907676, 1--6) and $(\psi, F)$-contraction mappings introduced in ( \cite{wad1}, D. Wardowski, \emph{Solving existence problems via $F$-contractions,} Proceedings of the American Mathematical Society, 146 (4), (2018), 1585--1598), in the framework of $b$-metric spaces. To achieve this, we introduce the notion of $(\alpha,\beta)-S$-admissible mappings and a new class of generalized $(\psi, F)$-contraction types and establish a common fixed point and fixed point results for these classes of mappings in the framework of complete $b$-metric spaces. As an application, we establish the existence and uniqueness of the solutions to differential equations in the framework of fractional derivatives involving Mittag-Leffler kernels via the fixed point technique. The results obtained in this work provide extension as well as substantial generalization and improvement of the fixed point results obtained in \cite{tac,wad1, wad} and several well-known results on fixed point theory and its applications.Keywords: Fixed point, $(alpha, beta)-S$-admissible mappings, Generalized $(, psi, F)$-contraction, $b$-metric space, Differential equation}
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We investigate the mechanisms of dynamic technique to rational type contraction in the context of partially ordered metric spaces and obtain coupled fixed points in this article. Our derived results extend and generalize some prominent outcomes in the literature. At last, we have produced an example and an application for a system of integral that preserve the main results.Keywords: coupled fixed point, mixed monotone property, rational type contraction, partially ordered metric space}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023, PP 163 -184This paper gives a study of various types of cone metric spaces and their topological characterizations. Contrarily to the case of cone metric space $X$, the paper shows with examples that the limit of a sequence may not be unique in the topology generated by partial cone metric $T_{p}$ and $(X, T_{p})$ is not generally Hausdorff topological space and also the cone valued partial metric mapping $p$ may not generally be continuous. Hence $T_{p}$ is not equivalent to any topology generated by any metric on $X$. Furthermore, the paper considers some generalized contraction types of mappings on $\theta$-complete cone metric-like spaces and then generalizes some coupled fixed point theorems of some previous results in this setting.Keywords: Partial Metric Spaces, Cone Metric Like Spaces, Cone Metric Spaces, Partial Cone Metric Space, coupled Fixed Point Theorems}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023, PP 1611 -1626In the present paper, we establish some generalized cyclic contraction results through $p$-number of subsets by using two different types of t-norm, viz. Hadzic type t-norm and minimum t-norm in the setting of 2- probabilistic metric spaces. Our results generalize some existing fixed point theorems in 2-Menger spaces. Some illustrative examples and an application to the existence of a solution to Airy’s type differential equation are also provided.Keywords: 2-probabilistic metric space, Cauchy sequence, Convergence sequence, cyclic contraction, p-cyclic contraction}
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 1, Jan 2023, PP 2843 -2858In the present manuscript, we prove some new fixed point results for multivalued mappings in the setting of b-metric space. Also, we obtain some results for the data dependence of fixed points, the directed graph endowed with a b-metric and for the fractals of an iterated multifunction system. The proven results extend and generalize some of the results in the literature.Keywords: Multivalued mappings, fixed points, $b$-metric space}
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Journal of Mathematical Analysis and its Contemporary Applications, Volume:4 Issue: 4, Autumn 2022, PP 27 -37In this article, the concept of semi-metric spaces is extended to semi-cone metric spaces. Also, some theorems for quasi-fixed points of Banach contractions, Kannan's contractions, and Chatterjea's contractions on semi-cone metric spaces are proved. Moreover, some quasi-fixed point results for different types of contraction mappings on semi-cone metric spaces are derived.Keywords: Semi cone metric space, contraction mapping, Quasi fixed point}
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Journal of Mathematical Analysis and its Contemporary Applications, Volume:4 Issue: 3, Summer 2022, PP 47 -62In this paper, a new concept of Ciric-Kannan -$alpha-psi$-contractions in the setting of $F $-metric space is introduced. Using this idea, endowed with suitable hypotheses, some fixed point theorems for such mappings in $F $-complete $F $-metric space are established. As an application, an existence condition for a solution of nonlinear neutral differential equations is investigated to show the usability of our obtained results.Keywords: Ciric-Kannan -$alpha-psi$-contraction, fixed point, nonlinear neutral differential equation, $F $-metric space, $alpha$-admissible}
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International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022, PP 999 -1008
The aim of this manuscript is to introduce the notion of ℜ-extended b-metric spaces and prove some fixed point results in this space. An extensive set of nontrivial examples is given to justify the claims.
Keywords: Fixed point, ℜ-extended b-metric space, Integral equation, ℜ-sequence} -
International Journal Of Nonlinear Analysis And Applications, Volume:13 Issue: 2, Summer-Autumn 2022, PP 709 -712
In this paper, we introduce the notion of Bipolar R-metric space that in a way enriches the present literature. Here, on associating a binary relation R with bipolar metric space, we obtain a fixed point result which is well supported with an illustrative example.
Keywords: R-metric space, Bipolar metric space, Bipolar R-metric space, Fixed point} -
Given a T0-quasi-metric space we associate a directed graph with it and study some properties of the related directed graph. The present work complements and refines earlier work in the field in which the symmetry graph of a T0-quasi-metric space was studied.
Keywords: T0-quasi-metric space, symmetry graph, asymmetric norm, directed graph, strong connectedness} -
In this paper we prove existence of fixed point theorems for Z-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of SJS- metric spaces with two metrics. Examples are constructed to high light the significance of newly obtained results.
Keywords: S^{JS}- metric space, fixed point, Z-contractive map, Geraghty type contractive map, interpolative Hardy-Rogers type contractive map} -
We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of coincidence quasi-best proximity points in a convex metric space. In this way we generalize the notion of coincidence-best proximity point already introduced by M. Gabeleh et al [14]. It turns out that under some circumstances this new class of mappings contains the class of cyclic-noncyclic mappings as a subclass. The existence and convergence of coincidence-best and coincidence quasi-best proximity points in the setting of convex metric spaces are investigated.
Keywords: Coincidence-best proximity point, Cyclic-noncyclic contraction, Quasi-cyclic-noncyclic contraction, Uniformly convex metric space}
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