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A vector-b-metric space is a more general space than a b-metric space because it is Riesz space valued. The study of ordered vector spaces is important in economic analysis. In this paper, we prove some common fixed point results for three and four mappings on vector-b-metric space with a graph. Our results extend many known results for three and four mappings on vector metric spaces. [ABSTRACT FROM AUTHOR]

We study some common results in C*-algebra-valued S b -metric spaces. We also present an interesting application of an existing and unique result for one type of integral equation. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce new notions called generalized (g − F − φ) contraction and rational type (g − F − φ) contraction for hybrid maps in complete G-metric spaces. First, using new concept of generalized (g − F − φ) contraction we establish a common fixed point theorem for a hybrid pair of weakly compatible maps. Second, we prove a common fixed point theorem for occasionally coincidentally idempotent mappings satisfying another new concept of rational type (g − F − φ) contraction under common limit range property. Our results generalize and improve several known results of the existing literature. Also, we give an example to indicate the usefulness of our main results. [ABSTRACT FROM AUTHOR]

In this present article, we establish the concept of ϕ-weakly commuting self-mappings pairs in S-metric space. with this idea we create a common fixed point theorem of Altman integral type for self-mappings in the context of S-metric space. Example is constructed to support our result. [ABSTRACT FROM AUTHOR]

Here, the existence of fixed points for weakly compatible maps is studied. The results are new generalization of the results of [5]. Finally, we study the new common fixed point theorems.

We study some common results in C*-algebra-valued Sb-metric spaces. We also present an interesting application of an existing and unique result for one type of integral equation.

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In this paper, we prove some coincidence and common fixed point theorems for two pairs of weakly compatible mappings satisfying a rational inequality in the framework of complex valued metric spaces. The proved results generalizes and extends some well known results in the literature. [ABSTRACT FROM AUTHOR]

In this paper, a new type of contraction for several self-mappings of a metric space, called FM-contraction, is introduced. This extends the one presented for a single map by Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces, Fixed Point Theory Appl., 2012:94, 2012]. Coincidence and common fixed point of eight self mappings satisfying FM-contraction conditions are established via common limit range property without exploiting the completeness of the space or the continuity of the involved maps. Coincidence and common fixed point of eight self-maps satisfying FM-contraction conditions via the common property (E.A.) are also studied. Our results generalize, extend and improve the analogous recent results in the literature, and some examples are presented to justify the validity of our main results.

In this article, we establish some new results on Jungck-Ćirić-Wardowski type mappings in complete metric spaces. Using our new approach, the conditions (W2) and (W3) of Wardowski do not apply for the proof of Cauchyness of the Picard-Jungck sequence. Our results generalize, improve and complement several results in the existing literature. [ABSTRACT FROM AUTHOR]

The aim of this paper is to introduce generalized condition (B) in a quasi-partial metric space acknowledging the notion of Künzi et al. [Künzi H.-P. A., Pajoohesh H., Schellekens M. P., Partial quasi-metrics, Theoret. Comput. Sci., 2006, 365, 237-246] and Karapinar et al. [Karapinar E., Erhan M.,Öztürk A., Fixed point theorems on quasi-partial metric spaces, Math. Comput.Modelling, 2013, 57, 2442-2448] and to establish coincidence and common fixed point theorems for twoweakly compatible pairs of self mappings. In the sequelwe also answer affirmatively two open problems posed by Abbas, Babu and Alemayehu [Abbas M., Babu G. V. R., Alemayehu G. N., On common fixed points of weakly compatible mappings satisfying generalized condition (B), Filomat, 2011, 25(2), 9-19]. Further in the setting of a quasi-partial metric space, the results obtained are utilized to establish the existence and uniqueness of a solution of the integral equation and the functional equation arising in dynamic programming. Our results are also justified by explanatory examples supported with pictographic validations to demonstrate the authenticity of the postulates.

We discuss, extend, improve and enrich results on simulation functions established by several authors. Furthermore, by using Lemma 2.1 of Radenovic et al. [Bull. Iran. Math. Soc., 2012, 38, 625],we get much shorter and nicer proofs than the corresponding ones in the existing literature.

In this paper, we find the conditions guaranteeing the existence of a unique common fixed point of two families of weakly cAobmsptartaibclte.selIfn-mtahpiss opnapqeura, siw-me efitnridc stphaececso. [ABSTRACT FROM AUTHOR]

In this paper, we introduce and define a concept of -operator pair as a pair of non-commuting mappings in a C*-algebra-valued modular metric space. Next, some common fixed point theorems are established for such mappings. Also, to support and elaborate our results, some examples are given and an application is provided for a system of integral equations. [ABSTRACT FROM AUTHOR]

Many authors used the concept of F−contraction introduced by Wardowski in 2012 in order to define and prove new results on fixed points in complete metric spaces. In some later papers (for example Proinov P.D., J. Fixed Point Theory Appl. (2020)22:21, doi:10.1007/s11784-020-0756-1) it is shown that conditions (F2) and (F3) are not necessary to prove Wardowski’s results. In this article we use a new approach in proving that the Picard–Jungck sequence is a Cauchy one. It helps us obtain new Jungck–Fisher–Wardowski type results using Wardowski’s condition (F1) only, but in a way that differs from the previous approaches. Along with that, we came to several new contractive conditions not known in the fixed point theory so far. With the new results presented in the article, we generalize, extend, unify and enrich methods presented in the literature that we cite.

We propose a common fixed point theorem for new notion of generalized nonexpansive mappings for two pairs of maps in an ordered orbitally complete metric space. To illustrate our result, we give throughout the paper two examples. Existence of solutions for certain system of functional equations arising in dynamic programming is also presented as application. [ABSTRACT FROM AUTHOR]

In our paper [1], the existence and uniqueness of a common fixed point for multi valued mappings was given, hence in this note we point out to no uniqueness of common fixed point in theorem 3.1, corollary 3.1 and corollary 3.2. We provide an example to demonstrate our purpose.

In this paper we prove a common fixed point theorem for two weakly compatible pairs of single and set-valued mappings which satisfying contractive condition of integral type in metric space by using the concept of strongly tangential property, our results generalize and extend some previous results.

In this paper, we prove some common fixed-point theorems for two self-mappings in the context of a complete b-metric space by proposing a new contractive type condition. Further, we derive a result for three self-mappings in the same setting. We provide two examples to demonstrate the validity of the obtained results.

The aim of this manuscript is to present a unique common fixed point theorem for six mappings satisfying (Ø, Ψ)- contraction and E.A property in the framework of G-metric space. An illustrative example is also given to justify the established result. [ABSTRACT FROM AUTHOR]

By using C-class functions, some existence and uniqueness results for common fixed points of three self-mappings in orbitally complete metric spaces are established. To demonstrate the usability of the hypotheses of our results, an application is provided to show the existence of solutions for certain system of integral equations. [ABSTRACT FROM AUTHOR]

In this paper, we establish some common fixed point theorems for mappings satisfying an α−ψ−contractive condition in 0−σ−complete metric-like space. Our results extend and generalize many existing results in the literature. Moreover, the present results are supported by two illustrative examples. [ABSTRACT FROM AUTHOR]

In this paper, we establish coincidence fixed point and common fixed point theorems for two mappings in complete C*-algebra-valued metric spaces which satisfy new contractive conditions. Some applications of our obtained results are given. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to obtain several common fixed point theorems for four mappings in the setting of cone b-metric spaces over Banach algebras. The obtained results generalize, complement, and improve some results in the literature. Moreover, we give some supportive examples for our conclusions. In addition, an application in the solution of a class of equations is given to illustrate the superiority of the main results. [ABSTRACT FROM AUTHOR]

In this paper we consider, discuss, improve and generalize recent b-(E.A)-property results for mappings in b-metric spaces established by Ozturk and Turkoglu (J Nonlinear Convex Anal 16(10):2059-2066, ). Thus, all our results are with much shorter proofs. One example is given to support the result. [ABSTRACT FROM AUTHOR]

In this paper we consider, discuss, improve and generalize recent fixed point results for mappings in b-rectangular metric spaces. Thus, all our results are with much shorter proofs. Also, we prove Reich type theorem in the frame of b-metric space. The proofs of all our results are without using Hausdorff assumption. One example is given to support the result. [ABSTRACT FROM AUTHOR]

In this paper we prove coincidence and common fixed point theorems for two pairs of weakly compatible self maps in fuzzy metric space using a fuzzy analogue of the Meir-Keeler type contractive condition. Our results substantially extend, generalize, and improve a multitude of well known results of the form existing in the literature for metric as well as fuzzy metric spaces. [ABSTRACT FROM AUTHOR]