scholarly journals Common Fixed Points Results on Non-Archimedean Metric Modular Spaces

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1355
Author(s):  
Wissam Kassab
Keyword(s):  
Fixed Points ◽  
Triangle Inequality ◽  
Control Function ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Altering Distance Function ◽  
Modular Spaces ◽  
Class Function ◽  
Altering Distance ◽  
Parameterized Family

This paper introduces two new contractive conditions in the setting of non-Archimedean modular spaces, via a C-class function, an altering distance function, and a control function. A non-Archimedean metric modular is shaped as a parameterized family of classical metrics; therefore, for each value of the parameter, the positivity, the symmetry, the triangle inequality, or the continuity is ensured. The main outcomes provide sufficient conditions for the existence of common fixed points for four mappings. Examples are provided in order to prove the usability of the theoretical approach. Moreover, these examples use a non-Archimedean metric modular, which is not convex, making the study of nonconvex modulars more appealing.

scholarly journals Common fixed points of monotone ρ-nonexpansive semigroup in modular spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Noureddine El Harmouchi ◽  
Karim Chaira ◽  
El Miloudi Marhrani
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Common Fixed Points ◽  
Nonexpansive Semigroup ◽  
Iteration Algorithm ◽  
Uniformly Convex ◽  
Modular Spaces ◽  
Nonexpansive Semigroups ◽  
Convergence Results

Abstract In this paper, we consider the class of monotone ρ-nonexpansive semigroups and give existence and convergence results for common fixed points. First, we prove that the set of common fixed points is nonempty in uniformly convex modular spaces and modular spaces. Then we introduce an iteration algorithm to approximate a common fixed point for the same class of semigroups.

scholarly journals Tripled Fixed Point Theorems in Partially Ordered Spaces Using a Control Function

2014 ◽  
Vol 9 ◽  
pp. 1-10 ◽  
Author(s):  
Savitri ◽  
Nawneet Hooda
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Fixed Point Theorems ◽  
Control Function ◽  
Altering Distance Function ◽  
Tripled Fixed Point ◽  
Partially Ordered ◽  
Altering Distance ◽  
Partially Ordered Spaces

In this paper, We prove some new tripled fixed point theorems using a control function which is also referred to as altering distance function.

scholarly journals Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces

2015 ◽  
Vol 23 (2) ◽  
pp. 179-185
Author(s):  
Hemant Kumar Nashine ◽  
Brian Fisher
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Generalized Contraction ◽  
Rational Expressions ◽  
Complex Valued ◽  
Common Fixed Point Theorems

Abstract The purpose of this paper is to study common fixed points in complex valued metric spaces and obtain sufficient conditions for the existence of common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions.

Results on Common Fixed Points by Alerting Distances

2007 ◽  
Vol 7 ◽  
pp. 23
Author(s):  
K. Jha ◽  
R. P. Pant ◽  
K. P. R. Sastry
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Control Function ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Compatible Mapping ◽  
Common Fixed Point Theorem

The aim of this paper is to establish a common fixed point theorem for two pairs of compatible mapping by altering distances between the points under a ¢-contractive condition. In this paper, we employ a control function that unifies the choice of control function in Sastry and Babu [10] and Sastry et al. [11], and so extend the results of Sastry et. al. [11]. Also, our results improve the results of Pant et. al. [8]. Pant and Jha [9]. <i>Nepal Journal of Science and Technology</i> Vol. 7, 2006

scholarly journals Common Fixed Points, Invariant Approximation and Generalized Weak Contractions

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Best Approximation ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Invariant Approximation ◽  
Weakly Contractive

Sufficient conditions for the existence of a common fixed point of generalized -weakly contractive noncommuting mappings are derived. As applications, some results on the set of best approximation for this class of mappings are obtained. The proved results generalize and extend various known results in the literature.

scholarly journals Common Fixed Points for JH-Operators and Occasionally Weakly g-Biased Pairs under Relaxed Condition on Probabilistic Metric Space

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Arvind Bhatt ◽  
Harish Chandra
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Triangle Inequality ◽  
Common Fixed Points ◽  
Probabilistic Metric Space ◽  
Probabilistic Metric

We obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a setXtogether with the functionF:X×X→Δwithout using the triangle inequality and without using the symmetric condition. Our results extend the results of Bhatt et al. (2010).

scholarly journals C-class function on Khan type fixed point theorems in generalized metric space

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3483-3494 ◽  
Author(s):  
Arslan Ansari ◽  
Naeem Saleem ◽  
Brian Fisher ◽  
M.S. Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Common Fixed Points ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Class Function ◽  
Rational Expressions

The aim of this article is to study common fixed point theorems in generalized metric spaces and obtain sufficient conditions for the existence of C-class function on Khan type common fixed points of a pair of mappings satisfying generalized contraction involving rational expressions. Also, some examples are obtained to support the obtained result. Also obtained results further generalize, extend and unify already existing results in literature.

Common Fixed Points in Modular Spaces

2018 ◽  
pp. 502 ◽  
Author(s):  
Salwa Salman Abed ◽  
Karrar Emad Abdul Sada
Keyword(s):  
Fixed Point ◽  
Weak Convergence ◽  
Fixed Point Theorems ◽  
Active Role ◽  
Common Fixed Points ◽  
Weakly Compact ◽  
Expansive Mapping ◽  
Modular Spaces ◽  
Opial’S Property ◽  
Common Fixed Point Theorems

     In this paper,there are   new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved,  Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results.  

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