A Note on Common Fixed Point Theorems in Menger Space Using Weak Compatibility

2015 ◽  
Vol 11 (2) ◽  
pp. 1-10
Author(s):  
Rajesh Shrivastava ◽  
Arihant Jain ◽  
Amit Gupta
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Menger Space ◽  
Weak Compatibility ◽  
Common Fixed Point Theorems

scholarly journals Common fixed point theorems under contractive conditions of integral type in symmetric spaces

2013 ◽  
Vol 46 (4) ◽  
Author(s):  
F. Merghadi ◽  
C. Godet-Thobie
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Weak Compatibility ◽  
Common Fixed Point Theorems

AbstractThe purpose of this paper is to prove common fixed point theorems for a family of mappings in symmetric spaces using the property (E.A) and weak compatibility or occasionally weak compatibility. Our results extend some recent results.

scholarly journals Common fixed point theorems in Menger spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-15
Author(s):  
Chi-Ming Chen ◽  
Tong-Huei Chang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Menger Space ◽  
Menger Spaces ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

We proved two common fixed point theorems for four self-mappings and two set-valued mappings withφ-contractive condition in a Menger space.

scholarly journals Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Saif Ur Rehman ◽  
Iqra Shamas ◽  
Naeem Jan ◽  
Abdu Gumaei ◽  
Mabrook Al-Rakhami
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Fuzzy Metric ◽  
Weak Compatibility ◽  
Common Fixed Point Theorems

In this paper, we study some coincidence point and common fixed point theorems in fuzzy metric spaces by using three-self-mappings. We prove the uniqueness of some coincidence point and common fixed point results by using the weak compatibility of three-self-mappings. In support of our results, we present some illustrative examples for the validation of our work. Our results extend and improve many results given in the literature. In addition, we present an application of fuzzy differential equations to support our work.

scholarly journals Common Fixed Point Theorems Satisfying Contractive Type Conditions in Complex Valued Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Mahpeyker Öztürk
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Type ◽  
Weak Compatibility ◽  
Rational Expressions ◽  
Complex Valued ◽  
Common Fixed Point Theorems ◽  
Satisfy Property

Some common fixed point theorems satisfying contractive conditions involving rational expressions and product for four mappings that satisfy property (E.A) along with weak compatibility of pairs are proved and further some results using (CLR)-property are obtained in complex valued metric spaces which generalize various results of ordinary metric spaces.

scholarly journals Common Fixed Points of Mappings and Set-Valued Mappings in Symmetric Spaces with Application to Probabilistic Spaces

2007 ◽  
Vol 2007 ◽  
pp. 1-7
Author(s):  
M. Aamri ◽  
A. Bassou ◽  
S. Bennani ◽  
D. El Moutawakil
Keyword(s):  
Fixed Point ◽  
Symmetric Space ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Weak Compatibility ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

The main purpose of this paper is to give some common fixed point theorems of mappings and set-valued mappings of a symmetric space with some applications to probabilistic spaces. In order to get these results, we define the concept of E-weak compatibility between set-valued and single-valued mappings of a symmetric space.

scholarly journals Weak compatibility and fixed point theorems for four self-maps inD-metric spaces

2005 ◽  
Vol 2005 (15) ◽  
pp. 2473-2489
Author(s):  
Bijendra Singh ◽  
Shobha Jain
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Coincident Point ◽  
Weak Compatibility ◽  
Common Fixed Point Theorems ◽  
Unique Common Fixed Point

This paper establishes one common coincident point theorem and three unique common fixed point theorems for four self-maps inD-metric spaces, which improve and generalize, significantly, the results of Dhage et al. (2003), Dhage (1999), and Rhoades (2003) under weaker assumption using a more general contractive condition. An example, in support of these theorems, has also been constructed. All the results of this paper are new.

scholarly journals On common fixed points in generalized Menger spaces

2016 ◽  
Vol 5 (4) ◽  
pp. 197
Author(s):  
Salwa Abed ◽  
Hadeel Hussein Luaibi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Suitable Condition ◽  
Common Fixed Points ◽  
Menger Space ◽  
Iteration Sequence ◽  
Menger Spaces ◽  
Common Fixed Point Theorems

R. Vasuki [1] proved fixed point theorems for expansive mappings in Menger spaces. R. Gujetiya and et al [2] presented an extension of the main result of Vasuki, for four expansive mappings in Menger space. In this article, an important lemma is given to prove that the iteration sequence is Cauchy under suitable condition in Menger probabilistic G-metric space (shortly, MPGM-space). And then, used to obtain three common fixed point theorems for expansive type mappings.

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