Abstract This paper consists of several fixed point theorems in the fuzzy b -metric spaces. As an important result, we give a sufficient condition for sequence to be Cauchy space. Thus simplify proofs many spaces with well-known contraction conditions.

The main aim of the current paper is investigation possibilities for improvements and generalizations contractive condition Ćirić in fuzzy metric spaces. Various versions conditions are studied two directions. First, motivated by recent results, more general spaces achieved secondly, quasi-contractive type mappings investigated order to obtain fixed point results with a wider class t-norms.

The purpose of this paper is to introduce a new type contraction called fuzzy F-contraction. As compared the F-contraction in existing literature, our much simpler and more straightforward, since it contains only one condition—that is, function F strictly increasing. Moreover, some fixed-point theorems for are presented. Further, examples given illustrate its validity superiority. In addition, by applying very significant lemma, we show that proofs most shorter elegant than ones literature.

In this paper, we prove some common fixed point results for four mappings satisfying generalized contractive condition in S-metric space. Our extend and improve several previous works.

Very recently, N. Souayan and Mlaiki [Nazir Nabil Mlaiki, A fixed point theorem in Sb-metric spaces, J. Math. Comput. Sci. 16 (2016), 131-139] S. Sedghi et al. [S. Sedghi, A. Gholidahneb, T. Dosenovic, Esfahani, Radenovic, Common of four maps to appear Linear Topol. Algebra], introduced the concept space as a generalization S-metric space. In this paper, we modified definition by prove some coupled common theorems We also present an example confirm our theoretical results.

Abstract The purpose of this survey is to prove that the fixed point results for various multiplicative contractions are in fact equivalent corresponding (standard) metric spaces. For example, such recent established by He et al. (Fixed Point Theory Appl. 2014:48, 2014), Mongkolkeha and Sintunavarat (J. Nonlinear Sci. 8:1134-1140, 2015) Abdou 9:2347-2363, 2016) all others from list references. Our here generalize, complement, improve ones existing literature.

This paper attempts to prove fixed and coincidence point results in fuzzy metric space using multivalued mappings. Altering distance function strong {bn}-fuzzy contraction are used order do that. Presented theorems generalization of some well known single valued results. Two examples given support the theoretical

Introduction/purpose: This study establishes sufficient conditions for a sequence to be Cauchy within the framework of controlled revised fuzzy metric spaces. It also generalizes concept Banach's contraction principle by introducing several new conditions. The aim is derive various fixed-point results that enhance understanding these mathematical structures. Methods: researchers employ rigorous techniques develop their findings. By defining set novel mappings and utilizing properties spaces,...

In this paper, we obtain a Pre\v{s}i\'{c} type common fixed point theorem for four maps in $b$-dislocated metric spaces. We also present one example to illustrate our main theorem. Further, two more corollaries.

The purpose of this paper is to consider various results in the context G b -metric spaces that have been recently published after (Aghajani, A.; Abbas, M.; Roshan, J.R. Common fixed point generalized weak contractive mappings partially ordered spaces. Filomat 2014, 28, 1087–1101). Our new improve, complement, unify, enrich and generalize already well known on Moreover, some coupled tripled coincidence provided.

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 context of b-metric-like space, results generalize, improve and complement several approaches existing literature. Moreover, some examples are presented here to illustrate usability obtained theoretical results.

Purpose The purpose of this paper is to introduce a mathematical model, an algorithm and numerical procedure for determining the duration diafiltration process with variable volume. This model should decrease time water usage. Design/methodology/approach A process, constant adding considered, as well relationships between macro‐ micro‐solute equation duration. By introducing α ( t )= Q D / F , i.e. dependent ratio flow filtrate rate, proposed. In order solve suggested, based on simulation...

The aim of the presented paper is to study fixed point theorems in complete and compact fuzzy metric spaces as improvement some recent results (M.S. Khan, M. Swaleh, S. Sessa, 1984.)[20]. For this purpose, condition maximum type defined by altering distance used. research illustrated three examples.

We introduce a new concept of α-fuzzy H-contractive mapping which is essentially weaker than the class fuzzy contractive and stronger α-φ-fuzzy mapping.For this type contractions, existence uniqueness fixed point in M -complete metric spaces also established.

Abstract The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić Chaos Solitons Fractals 42:146-154, 2009; Shen et al. Appl. Math. Lett. 25:138-141, 2012). For purpose, the altering distance functions are used. Moreover, some presented class t -norms extended by using theory countable extensions -norms. mentioned generalizations illustrated examples.

The purpose of this paper is to consider various contractive conditions in b-metric spaces which have been recently published. Our results improve and complement many recent from field. Using the obtained result by R. Miculescu A. Mihail (Miculescu & Mihail, 2017, pp.1-11) authors article show that proofs majority known context can be shortened.