scholarly journals Strong convergence results of two-steps modifying Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Hongbo Liu ◽  
Yi Li
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Reflexive Banach Spaces ◽  
Convergence Results

scholarly journals Weak and strong convergence results for sum of two monotone operators in reflexive Banach spaces

2020 ◽  
Vol 21 (1) ◽  
pp. 281-304
Author(s):  
Ferdinard U. Ogbuisi ◽  
◽  
Lateef O. Jolaoso ◽  
Yekini Shehu ◽  
◽  
...  
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Monotone Operators ◽  
Reflexive Banach Spaces ◽  
Weak And Strong Convergence ◽  
Convergence Results

Some convergence results of M iterative process in Banach spaces

2019 ◽  
pp. 2150017 ◽  
Author(s):  
Kifayat Ullah ◽  
Faiza Ayaz ◽  
Junaid Ahmad
Keyword(s):  
Strong Convergence ◽  
Fixed Points ◽  
Banach Spaces ◽  
Iterative Process ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Weak And Strong Convergence ◽  
Convergence Results

In this paper, we prove some weak and strong convergence results for generalized [Formula: see text]-nonexpansive mappings using [Formula: see text] iteration process in the framework of Banach spaces. This generalizes former results proved by Ullah and Arshad [Numerical reckoning fixed points for Suzuki’s generalized nonexpansive mappings via new iteration process, Filomat 32(1) (2018) 187–196].

scholarly journals Strong Convergence Theorems for Quasi-Bregman Nonexpansive Mappings in Reflexive Banach Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Mohammed Ali Alghamdi ◽  
Naseer Shahzad ◽  
Habtu Zegeye
Keyword(s):  
Fixed Point ◽  
Strong Convergence ◽  
Common Fixed Point ◽  
Banach Spaces ◽  
Nonexpansive Mappings ◽  
Maximal Monotone ◽  
Finite Family ◽  
Monotone Mappings ◽  
Reflexive Banach Spaces ◽  
Convergence Theorems

We study a strong convergence for a common fixed point of a finite family of quasi-Bregman nonexpansive mappings in the framework of real reflexive Banach spaces. As a consequence, convergence for a common fixed point of a finite family of Bergman relatively nonexpansive mappings is discussed. Furthermore, we apply our method to prove strong convergence theorems of iterative algorithms for finding a common solution of a finite family equilibrium problem and a common zero of a finite family of maximal monotone mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

scholarly journals On Convergence Results for Lipschitz Pseudocontractive Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Shin Min Kang ◽  
Arif Rafiq
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Iteration Scheme ◽  
Independent Interest ◽  
Ishikawa Iteration ◽  
Pseudocontractive Mappings ◽  
Convergence Results

We establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.

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