348 Results Found

The current study attempts to identify a new generalized metric space structure, referred to as partial modular $b-$metric, that extends both partial modular metric space via $b-$metric space and explains the topological aspects of the new sp...

In this paper, we aim to review Meir–Keeler contraction mappings results on various abstract spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric spaces. We collect all significant results in this direc...

A cyclic map with a contractive type of condition called p-cyclic orbital M-Kcontraction is introduced in a partial metric space. Sufficient conditions for the existence and uniqueness of fixed points and the best proximity points for these maps in c...

The aim of this paper was to obtain common fixed point results by using an interpolative contraction condition given by Karapinar in the setting of complete metric space. Here in this paper, we have redefined the Reich–Rus–Ćirić type cont...

This paper investigates the existence of common attractors for generalized $\theta$-Hutchinson operators within the framework of partial metric spaces. Utilizing a finite iterated function system composed of $\theta$-contractive mappings, we establish...

Within this manuscript we generalize the two recently obtained results of O. Popescu and G. Stan, regarding the F-contractions in complete, ordinary metric space to 0-complete partial metric space and 0-complete metric-like space. As Popescu and Stan...

The purpose of this study is to introduce a new type of extended metric space, i.e., the rectangular quasi-partial b-metric space, which means a relaxation of the symmetry requirement of metric spaces, by including a real number s in the definition o...

The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class of symmetric mappings, which is a generalization of cyclic ϕ-contraction mappings. With the help of these symmetric mappings, th...

In this paper, we initiate the notion of generalized multivalued $({\alpha }_K^{*},\mathsf{{\rm Y}},\mathsf{\Lambda })$ -contractions and provide some new common fixed point results in the class of ${\alpha }_K$ -complete partial b-metric spaces. The o...

In the present work, the concept of $\mathcal{F}$ -generalized contractive type mappings by using $C$ -class functions is introduced, and some common fixed point results for weakly isotone increasing set-valued mappings in the setting of ordered partial...

In this manuscript, we defined (α, F)-contractions in the context of double-controlled metric spaces and partially ordered double-controlled metric spaces. We established new fixed-point results and defined the notion of double-controlled metri...

In this paper, a large class of contractions is studied that contains Banach and Matkowski maps as particular cases. Sufficient conditions for the existence of fixed points are proposed in the framework of b-metric spaces. The convergence and stabili...

In this paper, we introduce the concepts of an $\alpha$ -admissible nonself-mapping, an $\alpha$ -F-contractive nonself-mapping, a weak $\alpha$ -F-contractive nonself-mapping, and a generalized $\alpha$ -F-contractive nonself-mapping...

In this paper, we introduce the notions of (F,$\phi$,$\alpha$-$\psi$)-contractions and (F,$\phi$,$\alpha$-$\psi$)-weak contractions in metric spaces and utilize the same to prove some existence and uniqueness $\phi$-fixed point results. Some...

In this paper, we introduce Suzuki-type $(\alpha ,\beta ,{\gamma }_{\mathfrak{g}})-$ generalized and modified proximal contractive mappings. We establish some coincidence and best proximity point results in fairly complete spaces. Also, we provide coi...

We introduce the generalized almost $(\phi ,\theta )$ -contractions by means of comparison type functions and another kind of mappings endowed with specific properties in the setting of dualistic partial metric spaces. Also, generalized almo...

In this paper, we introduce some new types of extended Geraghty contractions, called $(\alpha ,\beta )$-admissible generalized Geraghty F-contractions, and prove some fixed point results for such contractions in the setting of partial b-metric spaces....

This article studies new classes of contractions called the p-cyclic Reich contraction and p-cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces. Furthermore, t...

This article introduces the concept of generalized $(ff\mathcal{F},\mathtt{b},\breve{\varphi })$ contraction in the context of $\mathtt{b}$-metric spaces by utilizing the idea of $\mathcal{F}$ contraction introduced by Dariusz Wardowski. The main findings of the research focus on the existen...

In the present paper, we introduce the notion of $C^{*}$-algebra-valued partial modular metric space satisfying the symmetry property that generalizes partial modular metric space, $C^{*}$-algebra-valued partial metric space, and $C^{*}$-algebra-valued modular metr...

In this paper, we first introduce the class of partial symmetric spaces and then prove some fixed point theorems in such spaces. We use one of the our main results to examine the existence and uniqueness of a solution for a system of Fredholm integra...

By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85–87) where the given fixed point may be not unique and we present the corrected version. We also state the celebrated fi...

Inspired by the work of Gregori et al. and guided by some open direction, we propose the concepts of Cauchy sequence and convergent sequence in a fuzzy partial metric space by the residuum operator associated to a continuous t-norm. Based on these no...

A class of generalized $(\psi ,\alpha ,\beta )$ —weak contraction is introduced and some fixed-point theorems in a framework of partially ordered metric spaces are proved. The main result of this paper is applied to a first-order ord...

Involving w-distances and hybrid contractions that combine conditions of the Ćirić type and Samet et al. type, we obtain some general fixed-point results for quasi-metric spaces from which powerful and significant fixed-point theorems on pa...

Contract cheating refers to students using third-party online resources to complete their coursework. It is not only a unilateral result of the student, but also has a relationship with educators, as well as social resources. However, little work has...

In this paper, by introducing the concept of generalized Ćirić-type weak $({\varphi }_g,\mathcal{R})$ -contraction, we prove some common fixed point results in partial metric spaces endowed with binary relation $\mathcal{R}$ . We also deduce some useful consequence...

For a given mapping f in the framework of different spaces, the fixed-point equations of the form $fx=x$ can model several problems in different areas, such as differential equations, optimization, and computer science. In this work, the aim is to find...

This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results....

The purpose of this paper is to attain the existence of coincidences and common fixed points in four mappings satisfying $(\psi ,\beta ,L)$-generalized contractive conditions in the framework of partially ordered b-metric spaces. The main results prese...

The aim of this paper is to establish the existence of some common fixed point results for generalized Geraghty $(\alpha ,\psi ,\varphi )$ -quasi contraction self-mapping in partially ordered metric-like spaces. We display an example and an appli...

In numerous scientific and engineering domains, fractional-order derivatives and integral operators are frequently used to represent many complex phenomena. They also have numerous practical applications in the area of fixed point iteration. In this...

In this manuscript, we prove numerous results concerning fixed points, common fixed points, coincidence points, coupled coincidence points, and coupled common fixed points for $(\varphi ,\Psi )$-contractive mappings in the framework of partially ordered...

In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point...

Inspired by a metrical-fixed point theorem from Choudhury et al. (Nonlinear Anal. 2011, 74, 2116–2126), we prove some order-theoretic results which generalize several core results of the existing literature, especially the two main results of Harjani...

Background and Objectives: To evaluate anterior capsule opening (ACO) contraction and late intraocular lens (IOL) dislocation after cataract surgery in patients with weak or partially absent zonular support and assess methods of reducing these compli...

The aim of this paper is to introduce new forms of quasi-contractions in metric-like spaces and initiate more general conditions for the existence of invariant points for such operators. The proposed notions are then applied to study novel existence...

In this short survey, we aim to underline the importance of the non-unique fixed point results in various abstract spaces. We recall a brief background on the topic and we combine, collect and unify several existing non-unique fixed points in the lit...

In this paper, we prove the existence and uniqueness of common fixed point of tower type contractive mappings in complete metric (pseudo)modular spaces involving the theoretic relation. However, the newly introduced contraction in this paper further...

In this paper, the notion of generalized quasi-weakly contractive operators in metric-like spaces is introduced, and new conditions for the existence of fixed points for such mappings are investigated. A non-trivial example which highlights the novel...

In this paper, we introduce and examine the notion of a protected quasi-metric. In particular, we give some of its properties and present several examples of distinguished topological spaces that admit a compatible protected quasi-metric, such as the...

In the current paper, we first introduce a new class of contractions via a new notion called p-cyclic contraction mapping by combining the ideas of cyclic contraction mapping and p-contraction mapping. Then, we give a new definition of a cyclically 0...

Social commerce is an emerging platform that entails different social features to attract the attention of online consumers. Borrowing insights from the psychological contract theory, this study examines the characteristics of social commerce platfor...

In collaborative innovation, personal relationships between boundary personnel of knowledge-intensive business service (KIBS) enterprises and organizational customers have a “double-edged sword” effect on inter-organizational relations. T...

Excessive muscle co-contraction is one of the factors related to the progression of knee osteoarthritis (OA). A previous study demonstrated that pain, joint instability, lateral thrust, weight, and lower extremity alignment were listed as factors aff...

Bethanechol chloride, a nonselective muscarinic agonist, is the most frequently employed drug in dogs and cats to induce detrusor smooth muscle contraction under conditions characterized by poor or absent bladder emptying. Although this drug has mini...

In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b-quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b-quasi metric spaces.

Customer citizenship behaviours are important for a sustainable customer-brand relationship, yet little is known about the effect of psychological contract breach on citizenship behaviours. From the perspective of psychological contract theory, this...

Since the topological properties of a b-metric space (which generalizes the concept of a metric space) seem sometimes counterintuitive due to the fact that the “open” balls may not be open sets, we review some aspects of these spaces conc...

In this paper, we introduce the notion of $\acute{C}$ iri $\acute{c}$ type $\alpha$ - $\psi$ - $\mathsf{\Theta }$ -contraction and prove best proximity point results in the context of complete metric spaces. Moreover, we prove some best pro...