scholarly journals n-Tupled Fixed Points Theorem in Fuzzy Metric Spaces with Application

2015 ◽  
Vol 2015 ◽  
pp. 1-12
Author(s):  
P. P. Murthy ◽  
Rashmi Kenvat
Keyword(s):  
Fixed Point ◽  
Positive Integer ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type

We will introduce the concept ofn-tupled fixed points (for positive integern) in fuzzy metric space by mild modification of the concept ofn-tupled fixed points (for even positive intergern) introduced by Imdad et al. (2013) in metric spaces. As application of the above-mentioned concept, we will establish somen-tupled fixed point theorems for contractive type mappings in fuzzy metric space which extends the result of Roldán et al. (2013). Also we have given an application to solve a kind of Lipschitzian systems fornvariables and an integral system.

scholarly journals Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Mi Zhou ◽  
Xiao-lan Liu ◽  
Nicolae Adrian Secelean
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weak Compatibility ◽  
New Type ◽  
Common Fixed Point Theorems

In this paper, first, we introduce a new type of S∗−fuzzy metric space which is a generalization of fuzzy metric spaces. Second, we study the topological properties of S∗−fuzzy metric spaces. Finally, we extend Kannan-type mappings to generalized Kannan-type mappings under ϕ−gauge functions introduced by Fang in S∗−fuzzy metric spaces and prove the existence and uniqueness of fixed point for this kind of mappings. Furthermore, we also obtain the common fixed point theorems for weak compatibility along with E.A. property or CLRg property. Our results extend and improve very recent theorems in the related literature.

scholarly journals Fixed Point Theorems in Fuzzy Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Ismat Beg ◽  
Shaban Sedghi ◽  
Nabi Shobe
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Implicit Relation ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

We prove a fixed point theorem for mappings satisfying an implicit relation in a complete fuzzy metric space.

scholarly journals Some fixed point theorems in fuzzy metric space

2008 ◽  
Vol 39 (4) ◽  
pp. 309-316 ◽  
Author(s):  
Urmila Mishra ◽  
Abhay Sharad Ranadive ◽  
Dhananjay Gopal
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Reciprocal Continuity ◽  
Common Fixed Point Theorems

In this paper we prove common fixed point theorems in fuzzy metric spaces employing the notion of reciprocal continuity. Moreover we have to show that in the context of reciprocal continuity the notion of compatibility and semi-compatibility of maps becomes equivalent. Our result improves recent results of Singh & Jain [13] in the sense that all maps involved in the theorems are discontinuous even at common fixed point.

scholarly journals Some common fixed point theorems in fuzzy metric spaces using compatible of type A-1 and A-2

1970 ◽  
Vol 7 (1) ◽  
pp. 18-27
Author(s):  
CT Aage ◽  
JN Salunke
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Type A ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorems

Recently M. S Khan, H. K. Pathak and R. George [9] have been introduced the concept of compatible of type A − 1 and type A − 2 and obtained some common fixed point theorems in fuzzy metric spaces. In this connection we have proved some common fixed point theorems in fuzzy metric space using semicompatible mappings. DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5418 KUSET 2011; 7(1): 18-27

scholarly journals Pata-Type Fixed-Point Theorems in Kaleva–Seikkala’s Type Fuzzy Metric Space

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
Ao-Lei Sima ◽  
Fei He ◽  
Ning Lu
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Type Contraction

The purpose of this paper is to generalize the fixed-point theorems for Banach–Pata-type contraction and Kannan–Pata-type contraction from metric spaces to Kaleva–Seikkala’s type fuzzy metric spaces. Moreover, two examples are given for the support of our results.

scholarly journals Fixed Point Theorems via α-ϱ-Fuzzy Contraction

Axioms ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 69
Author(s):  
Badshah-e- Rome ◽  
Muhammad Sarwar ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type

Some well known results from the existing literature are extended and generalized via new contractive type mappings in fuzzy metric spaces. A non trivial supporting example is also provided to demonstrate the validity of the obtained results.

scholarly journals Convex Structure in Generalized Fuzzy Metric Spaces

2021 ◽  
Vol 2 (4) ◽  
pp. 13-16
Author(s):  
M. Jeyaraman ◽  
V. Vinoba ◽  
V. Pazhani
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Convex Structure ◽  
Fuzzy Metric ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper, we introduce the concept of convex structure in generalized fuzzy metric spaces and proved common fixed point theorems for a pair of self-mappings under sufficient contractive type conditions.

scholarly journals Proving Fixed Point Theorems Employing Fuzzy $(\sigma,\mathcal{Z})$-Contractive Type Mappings

2021 ◽  
Author(s):  
Hayel N. Saleh ◽  
Mohammad Imdad ◽  
Salvatore Sessa ◽  
Ferdinando Di Martino
Keyword(s):  
Fixed Point ◽  
Fuzzy Sets ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Uniqueness Theorems ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Contractive Type

In this article, the concept of fuzzy $(\sigma,\mathcal{Z})$-contractive mapping has been introduced in fuzzy metric spaces which is an improvement over the corresponding concept recently introduced by Shukla et al. [Fuzzy Sets and system. 350 (2018) 85--94]. Thereafter, we utilized our newly introduced concept to prove some existence and uniqueness theorems in $\mathcal{M}$-complete fuzzy metric spaces. Our results extend and generalize the corresponding results of Shukla et al.. Moreover, an example is adopted to exhibit the utility of newly obtained results.

scholarly journals Some Modified Fixed Point Results in V-Fuzzy Metric Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Vishal Gupta ◽  
Manu Verma ◽  
Mohammad Saeed Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Research Paper ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

The present research paper focuses on the existence of fixed point in V-fuzzy metric space. The presentation of V-fuzzy metric space in n-tuple encourages us to define different mapping in the symmetric V-fuzzy metric space. Here, the properties of fuzzy metric space are extended to V-fuzzy metric space. The introduction of notion for pair of mappings (f,g) on V-fuzzy metric space called V-weakly commuting of type Vf and V-R weakly commuting of type Vf is given. This proved fixed point theorem in V-fuzzy metric space employing the effectiveness of E.A. property and CLRg property. For the justification of the results, some examples are illustrated.

Sign in / Sign up

Export Citation Format

Share Document