Authors:Naveen Mani, Megha Pingale, Rahul Shukla, Renu Pathak Abstract: The primary objective of this study is to derive some theorems in fuzzy b-metric spaces under some assumptions on t-norms satisfying rational contractions. Some consequence results of our main finding are also given. At last, to validate our main results, two examples with graphical representation are also presented. PubDate: 2023-12-07 Issue No:Vol. 13 (2023)

Authors:Sheetal Yadav, Manoj Ughade, Manoj Kumar Shukla Abstract: In this paper, we introduce (ðœ†, ð›¼)-interpolative and (ðœ†, ð›¼, ð›½)-interpolative Kannan type contractions and establish some fixed-point theorems in bipolar metric spaces. Additionally, these theorems expand and apply a number of intriguing findings from metric fixed-point theory to the bipolar metric setting. PubDate: 2023-11-21 Issue No:Vol. 13 (2023)

Authors:Amine Faiz, Adil Baiz, Jamal Mouline, Khadija Bouzkoura Abstract: This manuscript consists of the idea of n-controlled metric space in fuzzy set theory to generalize a number of fuzzy metric spaces in the literature, for example, pentagonal, hexagonal, triple, and double controlled metric spaces and many other spaces in fuzzy environment. Various examples are given to explain definitions and results. We define open ball, convergence of a sequence and a Cauchy sequence in the context of fuzzy n-controlled metric space. We also prove, by means of an example, that a fuzzy n-controlled metric space is not Hausdorff. At the end of the article, an application is given to prove the uniqueness of the solution to fractional differential equations. PubDate: 2023-11-21 Issue No:Vol. 13 (2023)

Authors:M. S. Lukumon, A. A. Mebawondu, A. E. Ofem, C. Agbonkhese, F. Akutsah, O. K. Narain Abstract: In this paper, we introduce and study a modified inertial subgradient extragradient iterative method for solving bilevel split quasimonotone variational inequality problems in the framework of real Hilbert spaces. The method involves strongly monotone operators and quasimonotone operators as the cost operators. In addition, we obtain a strong convergence result of the proposed method under some standard conditions on the control parameters of the method. Our method does not require the prior knowledge of the operator norm or the coefficient of the underlying operator in the space of infinite dimensional real Hilbert spaces. Finally, we provide some numerical experiments to demonstrate the efficiency of our proposed methods in comparison with some existing methods. Our result generalizes and improves some well-known results in literature.

Authors:Rekha Panicker, Rahul Shukla, Deepa Vijayasenan Abstract: The stability of fixed points for a sequence of mappings {Tn} satisfying the conditions introduced by Gornicki is studied in a metric space (X,d). In particular, these mappings are only defined on a subset Xn of the metric space X. In this paper we study the convergence of {Tn} and the convergence of their fixed points {xn}. We also illustrate our results by applying them to an initial value problem for an ordinary differential equation. PubDate: 2023-11-21 Issue No:Vol. 13 (2023)

Authors:M.I. Pasha, K.R.K. Rao, B. Srinuvasa Rao, N. Mangapathi Abstract: In this paper, we prove certain coupled fixed point theorems for generalised mappings of the kind (ψ,φ)- contraction in complete Gb-metric spaces with partial order. Our findings are supported by a concrete illustration. We also provide a practical application of these findings to the resolution of integral equations, matrix equations, and homotopy theory.

Authors:Kenza Benkirane, Abderrahim El Adraoui, Samia Bennani Abstract: The main goal of this paper is to establish several fixed point results for certain mappings within variable exponent sequence spaces equipped with a graph. This will be achieved by integrating the principles of fixed point theory with those of graph theory. PubDate: 2023-11-13 Issue No:Vol. 13 (2023)

Authors:Edraoui Mohamed, El Koufi Amine, Aamri Mohamed Abstract: This article provides an introduction to the topics of proximal pointwise tricyclic contraction (PPTC) and best proximity point (BPP) existence in a weakly compact convex subset triad.

Authors:Pravin Singh, Shivani Singh, Virath Singh Abstract: The main purpose of this paper is to define a generalized 2-metric and prove the existence and uniqueness of fixed points for (ψ,ϕ) generalized weakly contractive mappings in a generalized 2-metric space. PubDate: 2023-11-02 Issue No:Vol. 13 (2023)

Authors:Bhumika Rani, Jatinderdeep Kaur, Satvinder Singh Bhatia Abstract: This article investigates Fixed Point Results in Generalized Gb-metric space by focusing on the concept of β-σ-Geraghty type contraction mapping in generalized Gb-complete metric space (CMS). We examine the fixed point results for this type of mapping and present several theorems that extend and generalize previous findings in the field. Our study contributes to a deeper understanding of Fixed Point Results in Generalized Gb-metric space. PubDate: 2023-10-30 Issue No:Vol. 13 (2023)

Authors:Arta Ekayanti, Mohamad Muslikh, Sa'adatul Fitri, Marjono - Abstract: In this paper, we introduce the existence fixed point theorem in the context of partial metric space endowed with partial ordering. Our results generalize and extend some recent results of Ran and Reurings (2004) and Nieto and Rodr´ıguez-Lopez (2005) to partial metric spaces. PubDate: 2023-10-23 Issue No:Vol. 13 (2023)

Authors:Adil Baiz, Jamal Mouline, Youssef El Bekri, Amine Faiz, Khadija Bouzkoura Abstract: In this article, we prove a fixed point result for (τ-ψ)-contraction in rectangular M-metric space. Moreover, we discuss some examples that realized the results. Finally, we investigate the existence and uniqueness of a solution of non-linear matrix equations and integral equations of Fredholm type as well. PubDate: 2023-10-16 Issue No:Vol. 13 (2023)

Authors:R. Theivaraman, P. S. Srinivasan, M. Marudai, S. Thenmozhi, A. Herminau Jothy Abstract: In this paper, we investigate the existence and diameter of the approximate fixed point results on G-metric spaces (not necessarily complete) by using various contraction mappings, including G-B contraction, G-Bianchini contraction, and so on. Additionally, we prove the same approximate fixed point results for rational type contraction mappings, which were discussed mainly in [11] and [16], in the setting of G-metric space. Also, a few examples are provided to demonstrate our findings. Finally, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously. PubDate: 2023-10-05 Issue No:Vol. 13 (2023)

Authors:Adil Baiz, Jamal Mouline, Youssef El Bekri Abstract: In this manuscript, we give some new examples of rectangular quasi b-metric spaces and it is not rectangular metric space nor metric space. After that we prove existence and uniqueness of new fixed points for some new contractions in rectangular quasi b-metric spaces. Then we validate these findings with appropriate and innovative examples. PubDate: 2023-09-22 Issue No:Vol. 13 (2023)

Authors:Meixuan Lv Abstract: In this paper, we investigate the problem of extending isometric operators from unit sphere of complex Lp spaces (1<p<∞, p≠2) to general complex Banach spaces. By studying the isometric operators, we prove the Tingley problem on complex Lp spaces and provide a positive answer under some conditions. That is, it is proved that for a surjective isometry V0 on any complex Lp[0,1] unit sphere to any general complex Banach space E unit sphere, Under some conditions,V0 can be extended to a linear isometry from the entire space Lp[0,1] to E. PubDate: 2023-09-18 Issue No:Vol. 13 (2023)

Authors:Rajendra Pant Abstract: In this article, a wider class of set-valued mappings is introduced, and a fixed point theorem for this new mapping in a metric space is proved. Then, we derive a number of implications from our main finding. We also present two non-trivial examples to support our primary theorem. Moreover, we look into fixed point set stability for set-valued mappings and well-posedness. Finally, we present an application to integral inclusion problem. PubDate: 2023-09-18 Issue No:Vol. 13 (2023)

Authors:Iqbal M. Batiha, Iqbal Jebril, Shameseddin Alshorm, Abeer A. Al-Nana Abstract: In this work, we intend to present some results related to the zeros of the monic polynomial of the Frobenius companion matrix. These results would certainly contribute to obtaining some new upper bounds for the zeros of such polynomials. PubDate: 2023-09-04 Issue No:Vol. 13 (2023)

Authors:Samir Dashputre, Rakesh Tiwari, Jaynendra Shrivas Abstract: In this paper, we provide certain fixed point results for a generalized (α,β)-nonexpansive mapping, as well as a new iterative algorithm for approximating the fixed point of this class of mappings in the setting of CAT(0) spaces. Furthermore, we establish strong and ∆-converges theorem for generalized (α,β)-nonexpansive mapping in CAT(0) space. Finally, we present a numerical example to illustrate our main result and then display the efficiency of the proposed algorithm compared to different iterative algorithms in the literature. Our results obtained in this paper improve, extend and unify some related results in the literature.

Authors:Samir Dashputre, Padmavati -, Rashmi Verma Abstract: In this paper, we proved strong and week convergence theorem for our proposed iterative process for class of generalized nonexpansive mappings in uniformly convex Banach space. Finally, we present a numerical example to illustrate that our iterative process is faster than the well known iteration process appeared in the literature, the results obtained in this paper improve, extend the results of [6], [9] and many more in this direction. PubDate: 2023-08-25 Issue No:Vol. 13 (2023)

Authors:Adil Baiz, Jamal Mouline, Abdelkarim Kari Abstract: In the last few decades, a lot of generalizations of The Banach contraction principle had been introduced. Recently, Piri et al. gave an interesting generalization of this principle in the framework of generalized quasi bmetric spaces. In this paper, we present the notion of τ-ψ-contraction and τ-ψ-contraction in generalized quasi b-metric spaces to study the existence and uniqueness of fixed point for them. We will also provide some illustrative examples. Our results improve many existing results. PubDate: 2023-08-21 Issue No:Vol. 13 (2023)

Authors:R. Theivaraman, P. S. Srinivasan, S. Thenmozhi, S. Radenovic Abstract: In this text, we investigate approximate fixed point results for various contraction mappings in a metric space. This manuscript’s intention is to demonstrate ε-fixed point results on metric spaces (not necessarily complete) by using contraction mappings such as B-contraction, convex contraction, and so on. The findings are extensions of several others, including the Kannan-type mapping, the Chatterjea-type mapping, and the S. A. M. Mohsenalhosseini-type mapping, etc. A few examples are included to illustrate the results. Finally, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously. PubDate: 2023-08-14 Issue No:Vol. 13 (2023)

Authors:Rajendra Pant, Deepak Khantwal Abstract: We present some new existence results for single and multivalued mappings in metric spaces on very general settings. Some illustrative examples are presented to validate our theorems. Finally, we discuss an application to the Volterra-type integral inclusions. PubDate: 2023-08-01 Issue No:Vol. 13 (2023)

Authors:C. Usha Bhavani, G. Upender Reddy, B. Srinuvasa Rao Abstract: In the context of partial b-metric space, we demonstrate several common fixed point solutions for (α,ϕ)-K-type contractive mappings in this study. We also look at a few integral equations applications. In order to support our conclusion, we also provided an example. PubDate: 2023-07-24 Issue No:Vol. 13 (2023)

Authors:Dhekra Mohammed Al-Baqeri, Samera Mohammed Saleh, Hasanen A. Hammad Abstract: In this paper, we introduce the notion of neutrosophic ℜ−ψ−contractive mappings in the setting of relational neutrosophic b-metric space. Our findings possibly open new way for another direction of relationtheoretic as well as neutrosophic fixed point theory. we prove some relevant results on the existence and uniqueness of fixed points for this type of mappings in the setting of neutrosophic b-metric space.

Authors:Wondimu Woldie Kassu, Abiyot Beku Abstract: We proved the existence of common fixed point theorems for finite family of self- mappings involving contractive conditions of Rational type in dislocated quasi metric spaces by extending and generalizing some results in the literature. We also give some examples that support our results in this particular work. PubDate: 2023-06-07 Issue No:Vol. 13 (2023)

Authors:S. Ladsungnern, P. Kingkam, J. Nantadilok Abstract: In this manuscript, we establish strong convergence theorems for the Ishikawa iteration scheme involving quasi-nonexpansive multi-valued maps in the setting of CAT(0) spaces. Our results extend and improve some related results in the literature. PubDate: 2023-04-04 Issue No:Vol. 13 (2023)

Authors:Hamza El Mamouni, Khalid Hattaf, Noura Yousfi Abstract: The main aim of this work is to investigate the existence of traveling waves of an epidemic model with temporary immunity acquired by vaccination. The incidence rate of the disease used in the epidemic model is of the form Hattaf-Yousfi that includes many types existing in the literature. By means of Schauder fixed point theorem and construction of a pair of upper and lower solutions, the existence of traveling wave solution that connects the disease-free equilibrium and the endemic equilibrium is obtained and characterized by two parameters that are the basic reproduction number and the minimal wave speed. PubDate: 2023-03-27 Issue No:Vol. 13 (2023)

Authors:J. Zhang, Q. Yuan Abstract: In this article, we investigate an iterative algorithm for solutions of generalized variational inequalities. A strong convergence theorem is established in the framework of Hilbert spaces. PubDate: 2023-03-02 Issue No:Vol. 13 (2023)

Authors:Mustapha Sabiri, Ilyas Sitli Abstract: In this paper, we introduce the concepts of G-Kannan contraction in a generalized metric space and G-Chatterjea contraction in dislocated metric space by combining fixed point theory with a graph theory.