Points In Fuzzy Metric Spaces Research Articles

Application to Lipschitzian and Integral Systems via a Quadruple Coincidence Point in Fuzzy Metric Spaces

In this paper, the results of a quadruple coincidence point (QCP) are established for commuting mapping in the setting of fuzzy metric spaces (FMSs) without using a partially ordered set. In addition, several related results are presented in order to generalize some of the prior findings in this area. Finally, to support and enhance our theoretical ideas, non-trivial examples and applications for finding a unique solution for Lipschitzian and integral quadruple systems are discussed.

Suzuki type fuzzy Z-contractive mappings and fixed points in fuzzy metric spaces

Suzuki type fuzzy Z-contractive mappings and fixed points in fuzzy metric spaces

Weakly, Semi Compatible Mappings and Common Fixed Points in Fuzzy Metric Spaces

Weakly, Semi Compatible Mappings and Common Fixed Points in Fuzzy Metric Spaces

FIXED POINTS OF FUZZY GENERALIZED CONTRACTIVE MAPPINGS IN FUZZY METRIC SPACES

In this paper, we introduce a new concept of fuzzy generalized contraction and give a xed point result for such mappings in the setting of fuzzy M-complete metric spaces. We also give an armative partial answer to a question posed by Wardowski (D. Wardowski, Fuzzy contractive mappings and xed points in fuzzy metric spaces, Fuzzy Set Syst., 222(2013), 108-114). Some examples are also given to support our main result.

English

English

Fuzzy contractive mappings and fixed points in fuzzy metric spaces

In the paper we introduce a new concept of fuzzy contraction, which is a generalization of a fuzzy contractive mapping initiated in the article [V. Gregori, A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets and Systems 125 (2002) 245–252]. For this type of contraction the conditions guaranteeing the existence of fixed point in fuzzy M-complete metric spaces in the sense of George and Veeramani are established. The result is supported by examples.

Tripled fixed points for compatible mappings in fuzzy metric spaces

In this paper, we will introduce compatibility for triplet in fuzzy metric spaces. Our result includes modified definition of tripled fixed point and generalizes recent results of Roldan et al. about tripled fixed point in fuzzy metric spaces. At the end of the paper, we will provide an example in support of our result.

On Convergence of Fixed Points in Fuzzy Metric Spaces

We mainly focus on the convergence of the sequence of fixed points for some different sequences of contraction mappings or fuzzy metrics in fuzzy metric spaces. Our results provide a novel research direction for fixed point theory in fuzzy metric spaces as well as a substantial extension of several important results from classical metric spaces.

Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property

The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space. Our results improve and extend a host of previously known results including the ones contained in Imdad et al. (2012).

Fixed Point Theory for Cyclic Weak $\phi-$contraction in Fuzzy Metric Spaces

In this paper, we introduce cyclic weak $\phi-$contractions in fuzzy metric spaces and utilize the same to prove some results on existence and uniqueness of fixed point in fuzzy metric spaces. Some related results are also proved besides furnishing illustrative examples.

Fixed point theorems for nonlinear contractions in Kaleva–Seikkala's type fuzzy metric spaces

In this paper the existence and unicity of fixed points for mappings in fuzzy metric spaces (in the sense of Kaleva and Seikkala) is discussed. Nonlinear contractions of the Boyd–Wong's type, Alber–Guerre Delabriere's type and Kannan–Reich's type are considered, and several new fixed point theorems for these contractions in complete fuzzy metric spaces are presented, respectively. Also, some error estimates are given for iterations to approximate fixed point. Previous work with respect to fixed point in fuzzy metric spaces is based on the t-conorm max. The presented work does away with this restriction, by proposing weaker conditions defining a generic class of suitable binary operations. As applications the corresponding fixed point theorems for Menger probabilistic metric spaces are obtained.

Compatible mappings of type (A-1) and type (A-2) and common fixed points in fuzzy metric spaces

The purpose of this paper is to obtain common fixed point theorems for compatible maps of type (A-I) and type (A2) on fuzzy metric spaces. Our results extend, generalize and fuzzify several fixed point theorems on metric paces, menger probabilistic metric spaces, uniform spaces and fuzzy metric spaces. Mathematics Subject Classification: 47H10, 54H25

On common fixed points in fuzzy metric spaces

Let (X,M, ∗) be a complete fuzzy metric space with limt→∞M(x,y,t )= 1 for all x,y ∈ X and s ∗ s ≥ s for all s ∈ [0,1] and let A,B,S and T be self mappings of X. In this paper we give some conditions of which A,B,S and T have a unique common fixed point in X. And we characterize the conditions for continuous self mappimgs S and T of X have a unique common fixed point in X. Mathematics Subject Classification: 54H25, 54E50

Fixed points in intuitionistic fuzzy metric spaces

Abstract The purpose of this paper, using the idea of intuitionistic fuzzy set due to Atanassov [Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets Syst 1986;20:87–96], we define the notion of intuitionistic fuzzy metric spaces due to Kramosil and Michalek [Kramosil O, Michalek J. Fuzzy metric and statistical metric spaces. Kybernetika 1975;11:326–34]. Further the well-known fixed point theorems of Banach and Edelstein are extended to intuitionistic fuzzy metric spaces with the help of Grabiec [Grabiec M. Fixed points in fuzzy metric spaces. Fuzzy Sets Syst 1988;27:385–9].