On the convergence of three-step iteration process with errors in the class of quasi-contractive operators

Research Abstract
We establish a general theorem to approximate the unique common fixed point of three quasi-contractive operations on an arbitrary Banach space through the three-step iteration process with errors.
Research Authors
R.A.Rashwan, Arif Rafiq, Ahmed A. Abdelhakim
Research Department
Department of Mathematics
Research Journal
Proc. Pakistan Acad. Sci.
Research Member
Rashwan Ahmed Rashwan Azooz
Research Pages
41-46
Research Publisher
Pakistan Acad. Sci.
Research Rank
1
Research Vol
46 (1) 2009
Research Website
NULL
Research Year
2009

On the convergence of three-step iteration process with errors in the class of quasi-contractive operators

Research Abstract
We establish a general theorem to approximate the unique common fixed point of three quasi-contractive operations on an arbitrary Banach space through the three-step iteration process with errors.
Research Authors
R.A.Rashwan, Arif Rafiq, Ahmed A. Abdelhakim
Research Department
Department of Mathematics
Research Journal
Proc. Pakistan Acad. Sci.
Research Member
Ahmad Abdel-hakeem
Research Pages
41-46
Research Publisher
Pakistan Acad. Sci.
Research Rank
1
Research Vol
46 (1) 2009
Research Website
NULL
Research Year
2009

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

Research Abstract
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 gen- eralize and improve upon the corresponding results in [1], [2], [3], [4], [5], [6], [7], [9], [13] and [16]. As an application of our results, we give and prove strong convergence theorems in uniformly convex Banach spaces.
Research Authors
R. A. Rashwan, Ahmed A. Abdelhakim
Research Department
Department of Mathematics
Research Journal
Demonstratio Mathematica
Research Member
Rashwan Ahmed Rashwan Azooz
Research Pages
895-908
Research Publisher
Warsaw University of Technology
Research Rank
1
Research Vol
Vol. XLI No 4 2008
Research Website
http://demmath.mini.pw.edu.pl/index.php
Research Year
2008

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

Research Abstract
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 gen- eralize and improve upon the corresponding results in [1], [2], [3], [4], [5], [6], [7], [9], [13] and [16]. As an application of our results, we give and prove strong convergence theorems in uniformly convex Banach spaces.
Research Authors
R. A. Rashwan, Ahmed A. Abdelhakim
Research Department
Department of Mathematics
Research Journal
Demonstratio Mathematica
Research Member
Ahmad Abdel-hakeem
Research Pages
895-908
Research Publisher
Warsaw University of Technology
Research Rank
1
Research Vol
Vol. XLI No 4 2008
Research Website
http://demmath.mini.pw.edu.pl/index.php
Research Year
2008

On the convergence of modified explicit iterations with errors for finite families of non-self mappings in banach spaces

Research Abstract
In this paper, we introduce two explicit one-step iterative procedures and use them to obtain weak and strong convergence theorems to a common fixed point of a finite family of non-self asymptotically quasi-nonexpansive mappings in real uniformly convex Banach spaces. Also, we establish weak and strong convergence theorems to a common fixed point of a finite family of non-self asymptotically nonexpansive mappings with respect to a sunny nonexpansive retraction P in real smooth uniformly convex Banach spaces. Our results extend and improve some known results
Research Authors
R. A. Rashwan and Ahmed A. Abdelhakim
Research Department
Department of Mathematics
Research Journal
Journal of Fixed Point Theory and Applications
Research Member
Ahmad Abdel-hakeem
Research Pages
Pages 13 - 37
Research Publisher
NULL
Research Rank
1
Research Vol
Volume 3, Issue 1
Research Website
http://www.pphmj.com/abstract/3254.htm
Research Year
2008

On the convergence of modified explicit iterations with errors for finite families of non-self mappings in banach spaces

Research Abstract
In this paper, we introduce two explicit one-step iterative procedures and use them to obtain weak and strong convergence theorems to a common fixed point of a finite family of non-self asymptotically quasi-nonexpansive mappings in real uniformly convex Banach spaces. Also, we establish weak and strong convergence theorems to a common fixed point of a finite family of non-self asymptotically nonexpansive mappings with respect to a sunny nonexpansive retraction P in real smooth uniformly convex Banach spaces. Our results extend and improve some known results
Research Authors
R. A. Rashwan and Ahmed A. Abdelhakim
Research Department
Department of Mathematics
Research Journal
Journal of Fixed Point Theory and Applications
Research Member
Rashwan Ahmed Rashwan Azooz
Research Pages
Pages 13 - 37
Research Publisher
NULL
Research Rank
1
Research Vol
Volume 3, Issue 1
Research Website
http://www.pphmj.com/abstract/3254.htm
Research Year
2008

Interactive effects of reduced water potential, temperature and boron on the seed germination of desert plants

Research Abstract
NULL
Research Authors
El-Sharkawi, H. M. and Farghali, K. A. and Sayed, A.S.
Research Department
Botany and Microbiology Department
Research Journal
Sixth International Conference on the Development of Dry Lands (ICARD), Cairo, Egypt .
Research Member
kotb Amer Farghali Omran
Research Pages
Pp. 609- 614.
Research Publisher
NULL
Research Rank
3
Research Vol
NULL
Research Website
NULL
Research Year
1999

Interactive effects of reduced water potential, temperature and boron on the seed germination of desert plants

Research Abstract
NULL
Research Authors
El-Sharkawi, H. M. and Farghali, K. A. and Sayed, A.S.
Research Department
Botany and Microbiology Department
Research Journal
Sixth International Conference on the Development of Dry Lands (ICARD), Cairo, Egypt .
Research Member
Suzan Abdel-Moniem Sayed Hussein
Research Pages
Pp. 609- 614.
Research Publisher
NULL
Research Rank
3
Research Vol
NULL
Research Website
NULL
Research Year
1999

Interactive effects of reduced water potential, temperature and boron on the seed germination of desert plants

Research Abstract
NULL
Research Authors
El-Sharkawi, H. M. and Farghali, K. A. and Sayed, A.S.
Research Department
Botany and Microbiology Department
Research Journal
Sixth International Conference on the Development of Dry Lands (ICARD), Cairo, Egypt .
Research Member
El-Hasanin Mohamed El-Hasanin El-Sharkawy
Research Pages
Pp. 609- 614.
Research Publisher
NULL
Research Rank
3
Research Vol
NULL
Research Website
NULL
Research Year
1999

Vegetation of main tributaries of wadi El-Assiuti in eastern desert of Egypt after rain fail

Research Abstract
NULL
Research Authors
Farghali, K. A.
Research Department
Botany and Microbiology Department
Research Journal
Egyptian Journal of Botany,
Research Member
kotb Amer Farghali Omran
Research Pages
131-144 .
Research Publisher
NULL
Research Rank
2
Research Vol
38:
Research Website
NULL
Research Year
1998
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