Point Theorems For Fuzzy Mappings Research Articles

Fixed point for fuzzy mappings in different generalized types of metric spaces

The aim of the paper is to establish some fixed point theorems for fuzzy mappings satisfying an implicit relation in left and right quasi-metric spaces. These theorems generalize the corresponding results in [S. Heilpern, J. Math. Anal. Appl., \(\bf 83\) (1981), 566--569], [V. Popa, Stud. Cercet. Ştiinţ. Ser. Mat. Univ. Bacău, \(\bf 7\) (1997), 127--133].

On nonlinear F-contractive fuzzy mappings

The aim of this paper is to obtain some (common) fuzzy fixed point theorems for fuzzy mappings concerning F- contractions (the concept was introduced in [Wardowski, Fixed Point Theory and Applications, 94 (2012), 1-6]) and Feng - Liu type condition [Feng and Liu, Journal of Mathematical Analysis an d Applications, 317 (2006) 103-112] in compelete metric spaces with/without using the Pompeiu - Hausdorff distance between α-level sets of fuzzy mappings. Our results generalize and strengthen various known results in the literature. An example and an application for the solution of a system of functional equations arising in dynamic programming are given to illustrate the usability of the obtained results.

Fixed point theorems for fuzzy mappings with applications

Fixed point theorems for fuzzy mappings with applications

Fixed Point Theorems for Fuzzy Mappings on Closed Subset of Hilbert Spaces for Rational Expression

Fixed Point Theorems for Fuzzy Mappings on Closed Subset of Hilbert Spaces for Rational Expression

FIXED FUZZY POINT THEOREMS IN FUZZY METRIC SPACE

In this paper, we have established some fixed fuzzy point theorems and common fixed fuzzy point theorems for fuzzy mappings satisfying a contractive type condition other than fuzzy Banach contractive type condition in complete fuzzy metric spaces.2010 Mathematics Subject Classifications: 47H10, 54E35, 54A40Kathmandu UniversityJournal of Science, Engineering and TechnologyVol. 12, No. 2, 2016, page: 34-49

Fixed point theorems for fuzzy mappings in metric spaces with an application

In this paper, we prove some new fixed point theorems for fuzzy mappings under a G-distance function and a \(G'\)-distance function in complete metric spaces. Our results extend, generalize, and improve some existing results. Moreover, an example and an application are given here to illustrate the usability of the obtained results.

A note on fixed point theorems for fuzzy mappings

Abstract In this paper, a common fixed point theorem for contractive type fuzzy mappings in a complete metric space is proved due to Cho (2005) [1]. Further an example is given for the results of Cho (2005) [1, Theorem 3.1] and Park and Jeong (1997) [2, Theorem 3.2] which are not satisfying the condition “for all x , y ∈ X ” and have a fixed point.

Fuzzy fixed point theorems for fuzzy mappings via β-admissible with applications

Abstract The object of this paper is to utilize the notion of β-admissible in the sense of Mohammadi et al. (Fixed Point Theory Appl. 2013:24, 2013) to prove a fuzzy fixed point theorem and present some corollaries. We also give illustrative examples which demonstrate the validity of hypotheses of our results and applications to fuzzy fixed points for fuzzy mappings in partially ordered metric spaces are studied.

Common α-fuzzy fixed point theorems for fuzzy mappings via $\beta_\mathcal{F}$-admissible pair

The object of this paper is to extend the concept of β-admissible for multivalued mappings due to Mohammadi et al. [B. Mohammadi, S. Rezapour and N. Shahzad, Some results on fixed points of α-ψ-Cir...

Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations

Abstract Ran and Reurings (Proc. Am. Math. Soc. 132(5):1435-1443, 2004) proved an analog of the Banach contraction principle in metric spaces endowed with a partial order and discussed some applications to matrix equations. The main novelty in the paper of Ran and Reurings involved combining the ideas in the contraction principle with those in the monotone iterative technique. Motivated by this, we present some common fixed point results for a pair of fuzzy mappings satisfying an almost generalized contractive condition in partially ordered complete metric spaces. Also we give some examples and an application to illustrate our results. MSC:46S40, 47H10, 34A70, 54E50.

Fuzzy fixed point theorems in Hausdorff fuzzy metric spaces

Abstract In this paper, we introduce the concept of fuzzy mappings in Hausdorff fuzzymetric spaces (in the sense of George and Veeramani (Fuzzy Sets Syst.64:395-399, 1994)). We establish the existence of α-fuzzyfixed point theorems for fuzzy mappings in Hausdorff fuzzy metric spaces, whichcan be utilized to derive fixed point theorems for multivalued mappings. We alsogive an illustrative example to support our main result.

Common α-fuzzy fixed point theorems for fuzzy mappings via $\beta_\mathcal{F}$-admissible pair

The object of this paper is to extend the concept of β-admissible for multivalued mappings due to Mohammadi et al. [B. Mohammadi, S. Rezapour and N. Shahzad, Some results on fixed points of α-ψ-Ciric generalized multifunctions, Fixed Point Theory and Applications 2013 (2013), 24] to fuzzy mappings and utilize this concept to prove a common α-fuzzy fixed point theorem for a pair of fuzzy mappings. We also give illustrative example which demonstrate the validity of the hypotheses of our results. Some related results to common fixed point for multivalued mappings are also derived from the main result.

Fixed point theorems for fuzzy contractive mappings in quasi-pseudo-metric spaces

In this paper, we obtain some fixed point theorems for fuzzy mappings in a left K-sequentially complete quasi-pseudo-metric space and in a right K-sequentially complete quasi-pseudo-metric space, respectively. Our analysis is based on the fact that fuzzy fixed point results can be obtained from the fixed point theorem of multivalued mappings with closed values. It is observed that there are many situations in which the mappings are not contractive on the whole space but they may be contractive on its subsets. We feel that this feature of finding the fuzzy fixed points via closed balls was overlooked, and our paper will re-open the research activity into this area.

Suzuki-type fixed point theorem for fuzzy mappings in ordered metric spaces

In this paper, a Suzuki-type fixed fuzzy point result for fuzzy mappings in complete ordered metric spaces is obtained. As an application, we establish the existence of coincidence fuzzy points and common fixed fuzzy points for a hybrid pair of a single-valued self-mapping and a fuzzy mapping. An example is also provided to support the main result presented herein.MSC:47H10, 47H04, 47H07.

Fixed Point Theorem for Fuzzy Mappings in Generalized R Fuzzy Metric Spaces

The study of theory of fuzzy sets was initiated by Zadeh in 1965. Since then many authors have extended and developed the theory of fuzzy sets in the fields of topology and analysis. The notion of fuzzy metric spaces has very important applications in quantum particle physics. As a result many authors have extended the Banach’s Contraction Principle to fuzzy metric spaces and proved fixed point and common fixed point theorems for fuzzy metric spaces. The aim of this paper is to introduce the new definition of R-fuzzy metric space and establish a fixed point theorem for fuzzy mappings in generalized R-fuzzy metric spaces.

Common fixed point theorems for fuzzy mappings in G-metric spaces

In this paper, we introduce the concept of Hausdorff G-metric in the space of fuzzy sets induced by the metric and obtain some results on Hausdorff G-metric. We also prove common fixed point theorems for a family of fuzzy self-mappings in the space of fuzzy sets on a complete G-metric space. MSC:47H10, 54H25.

Common Fixed Point Theorems in a New Fuzzy Metric Space

We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a newM∞-fuzzy metric, whereM∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, underϕ-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.

EXISTENCE THEOREMS FOR FIXED FUZZY POINTS WITH CLOSED α-CUT SETS IN COMPLETE METRIC SPACES

In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed -cut sets. Some importance observations are also discussed. Our results clearly extend, generalize and improve the corresponding results in the literatures, which have given most of their attention to the class of fuzzy sets with nonempty compact or closed and bounded -cut sets.

On a pair of fuzzy [formula omitted]-contractive mappings

We establish common fixed point theorems for fuzzy mappings under a φ -contraction condition on a metric space with the d ∞ -metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d ∞ -metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results.

A note on “Fixed point theorems for fuzzy mappings” by P. Vijayaraju and M. Marudai

In this paper a result on common fixed point theorem for a pair of contractive type fuzzy mappings in a metric space is established which improves the result of Vijayaraju and Marudai [Fixed point theorems for fuzzy mappings, Fuzzy Sets and Systems 135 (2003) 401–408].