3,658 Results Found

In this paper, we propose a new notion, which we name S-contractive mapping, in a framework of vector-valued white noise functionals ${\mathcal{W}}_{\omega }\otimes \mathcal{N}\subset \Gamma \left(H\right)\otimes K\subset {({\mathcal{W}}_{\omega }\otimes \mathcal{N})}^{*}$. And we give concrete definitions of S-contractive...

In this manuscript, we introduce the concept of fuzzy S-metric spaces and study some of their characteristics. We prove a fixed-point theorem for a self-mapping on a complete fuzzy S-metric space. To illustrate the versatility of our new ideas and re...

In this work, we introduced new notions of a new contraction named $S$ -weakly contraction; after that, we obtained the p-common best proximity point results for different types of contractions in the setting of complete metric spaces by using wea...

Common coupled fixed point theorems for generalized T-contractions are proved for a pair of mappings $S:X\times X\to X$ and $g:X\to X$ in a $b_v\left(s\right)$-metric space, which generalize, extend, and improve some recent results on coupled fixed points. As an a...

The purpose of this article is to present a new generalized almost $(s,q)-$ Jaggi $F-$ contraction-type and a generalized almost $(s,q)-$ Jaggi $F-$ Suzuki contraction-type and some results in r...

In this manuscript, we consider the compositions of simulation functions and E-contraction in the setting of a complete metric space. We investigate the existence and uniqueness of a fixed point for this composite form. We give some illustrative exam...

The paper presents the findings of a secondary analysis of qualitative research conducted in Turin (Northern Italy) in 2012–2013 on autonomy and responsibility in the relationships between children and parents. A total of 46 parents and 48 chil...

Wigner’s little groups are the subgroups of the Poincaré group whose transformations leave the four-momentum of a relativistic particle invariant. The little group for a massive particle is SO(3)-like, whereas for a massless particle, it...

We introduce $(\mathrm{\Omega },\mathrm{\Pi })$-contractions in complete S-metric spaces, where $\mathrm{\Omega },\mathrm{\Pi }:(0,\infty )\to \mathbb{R}$ satisfy $\mathrm{\Pi }\left(t\right)<\mathrm{\Omega }\left(t\right)$. Under natural comparison conditions, we prove asymptotic regularity and S-Cauchy Picard iterates. With either a...

This study introduces a novel class of fractional integral contractions within the framework of symmetric S-metric spaces. By embedding a Riemann–Liouville fractional integral ($\mathcal{RLFI}$) operator into an integral-type contractive condition, we offe...

This paper gives the new concepts of quasi $(s,r)$ -contractive multi-valued operators and establishes some related fixed point results for such operators. In addition, an application to certain functional equations arising from dynamic prog...

Trinucleotide repeat (TNR) expansion is the cause of over 40 neurodegenerative diseases, including Huntington’s disease and Friedreich’s ataxia (FRDA). There are no effective treatments for these diseases due to the poor understanding of...

In this paper we introduce a new type of implicit relation in S-metric spaces. Our aim is to prove a general fixed point theorem for mappings satisfying the cyclical contractive condition, which extends several results from the literature.

The rating of perceived exertion (RPE) and surface electromyography (sEMG) describe exercise intensity subjectively and objectively, while there has been a lack of research on the relationship between them during dynamic contractions to predict exerc...

In this paper we consider $(s-q)$ -graphic contraction mapping in b-metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and compl...

In this paper, we state and establish a new fixed point theorem for generalized Ćirić-type contraction in Kaleva-Seikkala’s type fuzzy b-metric space. Our results improve and extend some well-known results in the literature. Some exam...

We explored the effect of labor protection on firms’ operational efficiency, based on empirical data from China. Taking China’s Labor Contract Law implementation in 2008 as a quasi-natural experiment, we constructed a difference-in-differ...

In this paper, we introduce the notion of cyclic $(\alpha ,\beta )–{(\psi ,\phi )}_s$ -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many...

In this article, the notion of cyclic ${\eta }_s^q$ -rational contractive m...

Quality-of-service (QoS) is the term used to evaluate the overall performance of a service. In healthcare applications, efficient computation of QoS is one of the mandatory requirements during the processing of medical records through smart measureme...

The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung and Hang (2015), Piri and Kumam (2014, 2016), and Singh et al. (2018). In our proofs, we only use the property (F1) of Wardowski...

In this paper, we introduce four new types of contractions called in this order Kanan-S-type tricyclic contraction, Chattergea-S-type tricyclic contraction, Riech-S-type tricyclic contraction, Cirić-S-type tricyclic contraction, and we prove the exis...

The goal of this study is to describe the class of modified Sehgal–Guseman-like contraction mappings and set up some fixed-point results in $\mathcal{S}$-metric spaces. The class of generalized Sehgal–Guseman-like contraction mappings contains enhancements of Ba...

This manuscript examines fuzzy fixed point results using the concepts of $\mathcal{S}$-metric space. We introduce two contractive maps, $\gamma$- and $\gamma$-weak contractions, within the context of $\mathcal{S}$-metric spaces. These contractive maps form the cornerstone of...

We have introduced the new notions of R-weakly graph preserving and R-weakly $\alpha$ -admissible pair of multivalued mappings which includes the class of graph preserving mappings, weak graph preserving mappings as well as $\alpha$ -admissible mappings...

In this paper, we give new examples to show that the continuity actually strictly stronger than the Fatou property in b-metric spaces. We establish a new fixed point theorem for new essential and fundamental sufficient conditions such that a Ćirić ty...

Persons post-stroke experience excessive muscle co-contraction, and consequently the arm functions are compromised during the activities of daily living. Therefore, identifying instrumental outcome measures able to detect the motor strategy adopted a...

We solve a question posed by E. Karapinar, F. Khojasteh and Z.D. Mitrović in their paper “A Proposal for Revisiting Banach and Caristi Type Theorems in b-Metric Spaces”. We also characterize the completeness of b-metric spaces with t...

The most important objective of the present research is to establish some theoretical existence results on a novel combined configuration of a Caputo sequential inclusion problem and the hybrid integro-differential one in which the boundary condition...

After the introduction of Alam–Imdad’s relation-theoretic contraction principle, the field of metric fixed point theory has attracted much attention. A number of fixed point theorems in the context of relational metric space employing var...

This paper presents an analysis of the existence, uniqueness, and stability of solutions to fractional neutral Volterra-Fredholm integro-differential equations, incorporating Caputo fractional derivatives and semigroup operators with state-dependent...

In this study, the authors verify fixed-point results for Geraghty contractions with a restricted co-domain of the auxiliary function in the context of generalized metric structure, namely the $S_b$-metric space. This new idea of defining Geraghty contr...

The current research aims to discover applications of QML approaches in realizing liabilities within smart contracts. These contracts are essential commodities of the blockchain interface and are also decisive in developing decentralized products. Bu...

In this manuscript, we give sufficient conditions for a sequence to be Cauchy in the context of controlled fuzzy metric space. Furthermore, we generalize the concept of Banach’s contraction principle by utilizing several new contraction conditi...

The authors investigate Langevin boundary value problems containing a variable order Caputo fractional derivative. After presenting the background for the study, the authors provide the definitions, theorems, and lemmas that are required for comprehe...

Using Banach’s contractive principle and the Laray–Schauder fixed point theorem, we study the uniqueness and existence of solutions to a nonlinear two-term fractional integro-differential equation with the boundary condition based on Babe...

This paper studies the uniqueness of the bounded solution to a new Cauchy problem of the fractional nonlinear partial integro-differential equation based on the multivariate Mittag–Leffler function as well as Banach’s contractive principl...

This paper studies a two-echelon reverse supply chain (RSC) involving a remanufacturer and a collector, in which the collector receives the used products by paying a reward to consumers. The reward amount given to customers is crucial for encouraging...

In this paper, we introduce the matrix Mittag–Leffler function, which is a generalization of the multivariate Mittag–Leffler function, in order to investigate the uniqueness of the solutions to a fractional nonlinear partial integro-diffe...

The low-carbon transition depends not only on technologies and regulation, but also on how employees interpret and enact organizational environmental commitments. This study examines whether carbon anxiety—employees’ perception of organiz...

In this paper, we first establish a new fixed point theorem that generalizes and unifies a number of well-known fixed point results, including the Banach contraction principle, Kannan’s fixed point theorem, Chatterjea fixed point theorem, Du-Rassias...

The perturbation of thiol-disulfide homeostasis is an important consequence of many diseases, with redox signals implicated in several physio-pathological processes. A prevalent form of cysteine modification is the reversible formation of protein mix...

Fibrotic diseases, such as Dupuytren’s contracture (DC), involve excess scar tissue formation. The differentiation of fibroblasts into myofibroblasts is a significant mechanism in DC, as it generates tissue contraction in areas without wound op...

The notion of rational F-contractions using $\alpha$ -admissibility of type-S in b-metric-like spaces is introduced and the new fixed and periodic point theorems are proved for such mappings. Numerical examples are illustrated to check the effici...

This study concentrates on a higher-order Hadamard fractional differential equation defined on an unbounded interval, which is subject to integral and discrete boundary conditions. Through the employment of the upper and lower solution method combine...

We define the class of extended $b_v\left(s\right)$-metric spaces by replacing the real number $s\ge 1$ with a strictly increasing continuous function $\varphi$ in the definition of a $b_v\left(s\right)$-metric space. Also, we presented an example for this newly introduced space and...

In this scholarly discourse, we present proof of the existence of unique fixed points in b-metric spaces for hybrid rational contractions. Moreover, we establish a common fixed point theorem for four self-mappings, assuming S-compatibility for two pa...

In this work, we study Caputo fractional boundary value problems and contribute to the theory of fractional differential equations by improving the results of Ferreira. Specifically, we establish sharper bounds for the Green’s functions associa...

The study of fractional differential equations is gaining increasing significance due to their wide-ranging applications across various fields. Different methods, including fixed-point theory, variational approaches, and the lower and upper solutions...

This paper explores a new class of mappings and presents several fixed-point results for these mappings. We define these mappings by combining well-known mappings in the literature, specifically the large contraction mapping and Chatterjea’s ma...