Fixed point theorems for cyclic contraction mappings in fuzzy metric spaces
نویسندگان
چکیده
*Correspondence: [email protected] 1School of Mathematics and Statistics, Tianshui Normal University, Tianshui, 741001, P.R. China 2School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China Full list of author information is available at the end of the article Abstract In the present paper, an extension of the Edelstein contraction theorem for cyclic contractions in a fuzzy metric space is established, which also can be considered as a generalization of the fuzzy Edelstein contraction theorem introduced by Grabiec. Additionally, we extend a fixed point theorem in G-complete fuzzy metric spaces given by Shen et al. toM-complete fuzzy metric spaces. Meantime, two examples are constructed to illustrate the corresponding results, respectively.
منابع مشابه
Non-Archimedean fuzzy metric spaces and Best proximity point theorems
In this paper, we introduce some new classes of proximal contraction mappings and establish best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the us...
متن کاملMeir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces
Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space. This new space allows us to prove some fixed point theorems for Meir-Keeler contractive mapping. As some pattern we introduce the class of $alphaDelta$-Meir-Keeler contractive and we establish some results of fixed ...
متن کاملExtensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces
The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.
متن کاملGeneralized Weakly Contractions in Partially Ordered Fuzzy Metric Spaces
In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and coincidence point theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.
متن کاملIndicator of $S$-Hausdorff metric spaces and coupled strong fixed point theorems for pairwise contraction maps
In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...
متن کاملOn Fixed Point Theorems for Contractive-type Mappings in Fuzzy Metric Spaces
In this paper, we provide two different kinds of fixed pointtheorems in fuzzy metric spaces. The first kind is for the fuzzy$varepsilon$-contractive type mappings and the second kind is forthe fuzzy order $psi$-contractive type mappings. They improve thecorresponding conclusions in the literature.
متن کامل