Existence and convergence theorems concerning common fixed points of nonlinear semigroups of weak contractions

2020 ◽  
Vol 22 (3) ◽  
Author(s):  
Thitima Kesahorm ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Points ◽  
Common Fixed Points ◽  
Convergence Theorems ◽  
Nonlinear Semigroups

scholarly journals A Modified Mixed Ishikawa Iteration for Common Fixed Points of Two Asymptotically Quasi Pseudocontractive Type Non-Self-Mappings

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Yuanheng Wang ◽  
Huimin Shi
Keyword(s):  
Strong Convergence ◽  
Fixed Points ◽  
Iterative Scheme ◽  
Common Fixed Points ◽  
Iterative Sequence ◽  
Convergence Theorems ◽  
Ishikawa Iteration ◽  
Ishikawa Iterative Sequence

A new modified mixed Ishikawa iterative sequence with error for common fixed points of two asymptotically quasi pseudocontractive type non-self-mappings is introduced. By the flexible use of the iterative scheme and a new lemma, some strong convergence theorems are proved under suitable conditions. The results in this paper improve and generalize some existing results.

scholarly journals Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces

Axioms ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 10
Author(s):  
Azadeh Ghanifard ◽  
Hashem Parvaneh Masiha ◽  
Manuel De La Sen ◽  
Maryam Ramezani
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Approximation Methods ◽  
Viscosity Approximation ◽  
Convergence Theorems ◽  
Convex Metric Spaces ◽  
Viscosity Approximation Methods

In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.

Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions

2009 ◽  
Vol 71 (1-2) ◽  
pp. 685-690 ◽  
Author(s):  
Xiaolong Qin ◽  
Yeol Je Cho ◽  
Shin Min Kang ◽  
Haiyun Zhou
Keyword(s):  
Fixed Points ◽  
Common Fixed Points ◽  
Convergence Theorems

Generalized three-step iteration schemes and common fixed points of three asymptotically quasi-nonexpansive mappings

2008 ◽  
Vol 41 (4) ◽  
Author(s):  
R. A. Rashwan ◽  
A. A. Abdel Hakim
Keyword(s):  
Strong Convergence ◽  
Fixed Points ◽  
Banach Spaces ◽  
Iterative Scheme ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
Convergence Theorems

AbstractIn this paper, we study strong convergence theorems for a generalized three-step iterative scheme with errors to approximate common fixed points of three asymptotically quasi-nonexpansive mappings in real Banach spaces. Our results generalize and improve upon the corresponding results in [

Sign in / Sign up

Export Citation Format

Share Document