scholarly journals Fixed points of relaxed (Ψ,φ)-weakly N-contraction mappings in modular spaces

Filomat ◽  
2020 ◽  
Vol 34 (5) ◽  
pp. 1659-1676
Author(s):  
Getahun Wega ◽  
Habtu Zegeye ◽  
Oganeditse Boikanyo
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Contraction Mapping ◽  
Contractive Condition ◽  
Numerical Examples ◽  
Contraction Mappings ◽  
Modular Spaces

The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (?,?)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (?,?)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and ?zt?rk et. al [26]. To validate our results numerical examples are provided.

scholarly journals The convergence of Iteration Scheme to Fixed Points in Modular Spaces

2019 ◽  
pp. 2196-2201
Author(s):  
Meena Fouad Abduljabbar ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Limit Point ◽  
Contraction Mapping ◽  
Iteration Scheme ◽  
Multivalued Mappings ◽  
Modular Spaces ◽  
The Common

     The aim of this paper is to study the convergence of an iteration scheme for multi-valued mappings which defined on a subset of a complete convex real modular. There are two main results, in the first result, we show that the convergence with respect to a multi-valued contraction mapping to a fixed point. And, in the second result, we deal with two different schemes for two multivalued  mappings (one of them is a contraction and other has a fixed point) and then we show that the limit point of these two schemes is the same. Moreover, this limit will be the common fixed point the two mappings.

scholarly journals Common Fixed Points for Nonlinear Quasi-Contractions of Ćirić Type

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Fei He
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Positive Answer ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Scalarization Method ◽  
Cone Metric

We establish common fixed points theorems for two self-mappings satisfying a nonlinear contractive condition of Ćirić type with aQ-function. Furthermore, using the scalarization method, we deduce some results of common fixed point in tvs-cone metric spaces with ac-distance. As application, we give a positive answer to the question of Ćirić et al. posed in 2012. Our results extend and generalize many recent results.

scholarly journals Common Fixed Points for Pairs of Mappings with Variable Contractive Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
J. R. Morales ◽  
E. M. Rojas ◽  
Ravindra K. Bisht
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Common Fixed Points ◽  
Contraction Mappings ◽  
New Class

We establish some common fixed point results for a new class of pair of contraction mappings having functions as contractive parameters, and satisfying minimal noncommutative operators property.

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 Common Fixed Points for Weakψ-Contractive Mappings in Ordered Metric Spaces with Applications

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Sumit Chandok ◽  
Simona Dinu
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Ordered Metric Spaces ◽  
Contractive Mappings ◽  
Common Fixed Point Theorems

We obtain some new common fixed point theorems satisfying a weak contractive condition in the framework of partially ordered metric spaces. The main result generalizes and extends some known results given by some authors in the literature.

Coupled points for total weakly contraction mappings via ρ-distance

2016 ◽  
Vol 5 (3) ◽  
pp. 164
Author(s):  
Salwa Abed ◽  
Hiba Adel Jabbar
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Coincidence Points ◽  
Contraction Mappings ◽  
Coupled Fixed Points

In this paper, the total weakly contraction mappings and T-total weakly contraction mappings are defined with respect to ρ-distance. The concepts of mixed monotone and general mixed monotone are used to prove some theorems about coupled fixed points, common fixed point and coincidence points for these mappings in partially general b-metric spaces which equipped with ρ-distance.

scholarly journals Common Fixed Point Theorems for Multivalued Generalized F-Suzuki-Contraction Mappings in Complete Strong b-Metric Spaces

2019 ◽  
pp. 88-94
Author(s):  
Yusuf Ibrahim
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Common Fixed Point Theorems

This paper introduces a new version of multivalued generalized F-Suzuki-Contraction mapping and then establish some new common fixed point theorems for these new multivalued generalized F-Suzuki-Contraction Mappings incomplete strong b-Metric Spaces.

scholarly journals Fixed Point and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Weak Contraction ◽  
Integral Type ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Modular Spaces ◽  
Generalized Weak Contraction ◽  
Common Fixed Point Theorems

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A. Razani and R. Moradi (2009) and M. Beygmohammadi and A. Razani (2010).

scholarly journals (C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph

Mathematics ◽  
2019 ◽  
Vol 7 (5) ◽  
pp. 482 ◽  
Author(s):  
Reny George ◽  
Ekta Tamrakar ◽  
Jelena Vujaković ◽  
Hemant Pathak ◽  
Selvavinayagam Velusamy
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Admissible Set ◽  
Contraction Mappings ◽  
Control Functions ◽  
Set Valued Mappings ◽  
Common Fixed Point Theorems

In this paper, we introduce the ( C , Ψ * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed point theorems for such mappings in a metric space endowed with a graph. Our results unify and generalize many important fixed point results existing in literature. As an application of our main result, we have derived fixed point theorems for a pair of α -admissible set valued mappings in a metric space.

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