scholarly journals COMMON FIXED POINT THEOREM IN INTUITIONITIC FUZZY METRIC SPACES

2015 ◽  
Vol 11 (4) ◽  
pp. 5075-5081
Author(s):  
Anil Rajput ◽  
Abha Tenguria Tenguria ◽  
Varsha Mandwariya ◽  
D.P Agrawal
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Important Branch

Fixed point is an important branch of analysis to enhance its literature the prime .The object of this paper is to prove the common fixed point theorems for six self mapping taking the pair of maps as coincidentally commutating and compatible in an intuitionistic Fuzzy Metric Space. Our result is an extended and generalized result of Kumar et al.[11]

COMMON FIXED POINT THEOREM FOR TWO MAPPINGS IN bi-b-METRIC SPACE

2022 ◽  
Vol 11 (1) ◽  
pp. 25-34
Author(s):  
V.D. Borgaonkar ◽  
K.L. Bondar ◽  
S.M. Jogdand
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

In this paper we have used the concept of bi-metric space and intoduced the concept of bi-b-metric space. our objective is to obtain the common fixed point theorems for two mappings on two different b-metric spaces induced on same set X. In this paper we prove that on the set X two b-metrics are defined to form two different b-metric spaces and the two mappings defined on X have unique common fixed point.

scholarly journals COMMON FIXED POINT THEOREMS USING COMPATIBLE MAPS IN D-METRIC SPACES OVER TOPOLOGICAL SEMI FIELD

2018 ◽  
Vol 1 (2) ◽  
Author(s):  
Rajesh Tokse1 ◽  
Kamal Wadhwa2 ◽  
Vineet Kumar Agrawal3
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Compatible Maps ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we introduce the concepts of compatible mappings in D-metric spaces over Topological semi field and prove the common fixed point theorem.

scholarly journals Comment on “Common Fixed Point Theorems for Commutating Mappings in Fuzzy Metric Spaces”

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Yonghong Shen ◽  
Wei Chen ◽  
Sanfu Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Relevant Literature ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In the recent paper “common fixed point theorems for commutating mappings in fuzzy metric spaces,” the authors proved that a common fixed point theorem for commutating mappings inG-complete fuzzy metric spaces and gave an example to illustrate the main result. In this note, we point out that the above example is incorrect because it does not satisfy the condition ofG-completeness, and then two appropriate examples are given. In addition, we prove that the theorem proposed by Zheng and Lian actually holds in anM-complete fuzzy metric space. Our results improve and extend some existing results in the relevant literature.

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

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Sunny Chauhan ◽  
M. Alamgir Khan ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric ◽  
Common Limit ◽  
Common Fixed Point Theorems ◽  
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).

scholarly journals Suzuki-Type of Common Fixed Point Theorems in S-Fuzzy Metric Spaces

2021 ◽  
Vol 2 (3) ◽  
pp. 86-91
Author(s):  
M. Jeyaraman ◽  
S. Sowndrarajan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Banach Contraction ◽  
New Type ◽  
Common Fixed Point Theorems

In this paper, by using of Suzuki-type approach [Suzuki, T., A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc., 136, 1861–1869, 2008.] we prove new type of Suzuki- type fixed point theorem for non-Archimedean S - fuzzy metric spaces which is generalization of Suzuki-Type fixed point results in S - metric spaces.

scholarly journals Common Fixed Point Theorems for a Rational Inequality in Complex Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Pankaj Kumar ◽  
Manoj Kumar ◽  
Sanjay Kumar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complex Valued ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for a pair of mappings. Also, we prove a common fixed point theorem for pairs of self-mappings along with weakly commuting property.

scholarly journals An Application of Fixed Point Theorems in Fuzzy Metric Space

2019 ◽  
Vol 11 (1) ◽  
pp. 37
Author(s):  
Ali Hassan Abbaker Abd Alla
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Fuzzy Metric ◽  
Common Fixed Point Theorem ◽  
Type Contraction

We prove common fixed point theorem in fuzzy metric spaces in the sense of George and Veeramani. We prove the theory of integral type contraction as an application.

scholarly journals A common fixed point theorem for the $\psi$-contractive mapping

2010 ◽  
Vol 41 (1) ◽  
pp. 25-30 ◽  
Author(s):  
Chi-Ming Chen ◽  
Tong-Huei Chang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Cone Metric Spaces ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Cone Metric

In this paper, we shall discuss the common fixed point theorems of four single-valued functions with $\psi$-contractive codition in cone metric spaces.

Suzuki-type of common fixed point theorems in fuzzy metric spaces

2018 ◽  
Vol 68 (2) ◽  
pp. 451-462 ◽  
Author(s):  
Shaban Sedghi ◽  
Nabi Shobkolaei ◽  
Tatjana Došenović ◽  
Stojan Radenović
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Coincidence Fixed Point ◽  
Common Fixed Point Theorems

Abstract In this paper by using of Suzuki-type approach we introduce the new contractive condition in the framework of non-Archimedean fuzzy metric spaces. We prove also the corresponding coincidence fixed point theorem for two mappings in this framework. Finally, two examples are presented to verify the effectiveness and applicability of our main results.

scholarly journals Common Fixed Point Theorem via Cyclic (α,β)-(ψ,φ)S-Contraction with Applications

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 198
Author(s):  
Mian Zada ◽  
Muhammad Sarwar ◽  
Fahd Jarad ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Rational Type ◽  
Type Contraction

In this paper, we introduce the notion of cyclic ( α , β ) - ( ψ , φ ) s -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.

Sign in / Sign up

Export Citation Format

Share Document