scholarly journals Common Fixed Point Theorems of Altman Integral Type Mappings inG-Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Feng Gu ◽  
Hongqing Ye
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Integral Type ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

We introduce the concept ofφ-weakly commuting self-mapping pairs inG-metric space. Using this concept, we establish a new common fixed point theorem of Altman integral type for six self-mappings in the framework of completeG-metric space. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.

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.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the 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 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 Common Fixed Point Theorems via Inverse C k − Class Functions in Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-25
Author(s):  
Mi Zhou ◽  
Xiao-Lan Liu ◽  
Arslan Hojat Ansari ◽  
Mukesh Kumar Jain ◽  
Jia Deng
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we firstly introduce a new notion of inverse C k − class functions which extends the notion of inverse C − class functions introduced by Saleem et al., 2018. Secondly, some common fixed point theorems are stated under some compatible conditions such as weak semicompatible of type A , weak semicompatibility, and conditional semicompatibility in metric spaces. Moreover, we introduce a new kind of compatibility called S τ − compatibility which is weaker than E . A . property and also present a common fixed point theorem in metric spaces via inverse C k − class functions. Some examples are provided to support our results.

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

2018 ◽  
Vol 6 (8) ◽  
pp. 297
Author(s):  
Jagdish C. Chaudhary ◽  
Shailesh T. Patel
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Complete Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Complete Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral  type.

scholarly journals Common fixed point and best approximation results for subcompatible mappings in hyperbolic ordered metric spaces

2015 ◽  
Vol 24 (1) ◽  
pp. 77-82
Author(s):  
SAVITA RATHEE ◽  
◽  
SAVITA REETU ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Best Approximation ◽  
Metric Spaces ◽  
Ordered Metric Space ◽  
Ordered Metric Spaces ◽  
Common Fixed Point Theorem

In the present paper we establish a common fixed point theorem and apply it to find new best approximation results for ordered subcompatible mappings in the hyperbolic ordered metric space. Our results unify, generalize and complement various known results.

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 The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Binary Relation ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Generalized Contraction ◽  
Common Fixed Point Theorems

We introduce the concept of the generalized -contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of -distance and -admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. Our results generalize the result of Kutbi, 2013, and several results in the literature.

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