scholarly journals Common fixed point results of a pair of generalized ( ψ , φ ) $(\psi,\varphi )$ -contraction mappings in modular spaces

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Mahpeyker Öztürk ◽  
Mujahid Abbas ◽  
Ekber Girgin
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Contraction Mappings ◽  
Modular Spaces

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 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 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 Some common fixed point theorems for Ciric type contraction mappings

2012 ◽  
Vol 43 (2) ◽  
pp. 187-202
Author(s):  
Sumit Chandok
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Invariant Approximation ◽  
Convex Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Type Contraction

Some common fixed point theorems for \'{C}iri\'{c} type contraction mappings have been obtained in convex metric spaces. As applications, invariant approximation results for these type of mappings are obtained. The proved results generalize, unify and extend some of the results of the literature.

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.

Sign in / Sign up

Export Citation Format

Share Document