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.

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 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 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]

scholarly journals Some fixed point theorems of rational type contraction in b-metric spaces

2021 ◽  
Vol 7 (3) ◽  
pp. 350-363
Author(s):  
Merdaci Seddik ◽  
Hamaizia Taieb
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Type Mapping ◽  
Contractive Type ◽  
Common Fixed Point Theorems ◽  
Rational Type ◽  
Type Contraction

Abstract In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U. Rahman [23] as well as a generalization of many well-known results in the literature through the context of b-metric spaces. Also, we present a few examples to illustrate the validity of the results obtained in the paper. Finally, results are applied to find the solution for an integral equation.

scholarly journals Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
W. Sintunavarat ◽  
P. Kumam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Multivalued Mappings ◽  
Contractive Condition ◽  
Integral Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors.

scholarly journals A New Type of Coincidence and Common Fixed Point Theorem with Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Shyam Lal Singh ◽  
Raj Kamal ◽  
Manuel De la Sen ◽  
Renu Chugh
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Common Solution ◽  
New Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

Coincidence and common fixed point theorems for a class of Ćirić-Suzuki hybrid contractions involving a multivalued and two single-valued maps in a metric space are obtained. Some applications including the existence of a common solution for certain class of functional equations arising in a dynamic programming are also discussed.

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