지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 133 - 142 (10page)
이용수
초록· 키워드
오류제보하기
In this paper, we prove two strong convergence theorems for asymptotically
nonexpansive mappings in Hibert spaces by hybrid methods. Our results extend and improve
the recent ones announced by Nakajo, Takahashi [K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372-379], Kim, Xu [T. H. Kim, H. K. Xu, Strong convergence of modified mann iterations for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal. 64 (2006) 1140-1152], Martinez-Yanes, Xu [C. Martinez-Yanes, H. K. Xu,
Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal.
64 (2006) 2400-2411] and some others.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
A. Genel / 1975 / An example concerning fixed points / Israel J. Math 22 : 81 ~ 86
B. Halpern / 1967 / Fixed points of nonexpanding maps, Bull / Am. Math. Soc 73 : 957 ~ 961
C. E. Chidume / 2001 / An example on the Mann iteration method for Lipschitz pseudocontractions / Proc. Am. Math. Soc 129 : 2359 ~ 2363
C. Martinez-Yanes / 2006 / Strong convergence of the CQ method for fixed point iteration processes / Nonlinear Anal 64 : 2400 ~ 2411
K. Goebel / 1972 / A fixed point theorem for asymptotically nonexpansive mappings / Proc. Am. Math. Soc 35 : 171 ~ 174
B. Halpern / 1967 / Fixed points of nonexpanding maps, Bull / Am. Math. Soc 73 : 957 ~ 961
C. E. Chidume / 2001 / An example on the Mann iteration method for Lipschitz pseudocontractions / Proc. Am. Math. Soc 129 : 2359 ~ 2363
C. Martinez-Yanes / 2006 / Strong convergence of the CQ method for fixed point iteration processes / Nonlinear Anal 64 : 2400 ~ 2411
K. Goebel / 1972 / A fixed point theorem for asymptotically nonexpansive mappings / Proc. Am. Math. Soc 35 : 171 ~ 174
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
STRONG CONVERGENCE OF HYBRID METHOD FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND SEMIGROUPS
Journal of applied mathematics & informatics
2011 .01
-
ON THE STRONG CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE SEMIGROUPS IN BANACH SPACES
Journal of applied mathematics & informatics
2009 .01
-
Strong Convergence of Modified Iteration Processes for Relatively Nonexpansive Mappings
Kyungpook Mathematical Journal
2008 .01
-
Strong convergence of modified hybrid algorithm for quasi-Φ-asymptotically nonexpansive mappings
대한수학회논문집
2009 .01
-
CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Journal of applied mathematics & informatics
2009 .01
-
Hybrid monotone projection algorithms for asymptotically quasi-pseudocontractive mappings
East Asian Mathematical Journal
2009 .01
-
STRONG CONVERGENCE THEOREMS FOR FIXED POINT PROBLEMS OF ASYMPTOTICALLY QUASI-？？-NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE
Journal of applied mathematics & informatics
2014 .01
-
CONVERGENCE THEOREMS FOR TWO FAMILIES OF WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND A FAMILY OF EQUILIBRIUM PROBLEMS
대한수학회논문집
2010 .01
-
Weak and strong convergence of three step iteration scheme with errors for non-self asymptotically nonexpansive mappings
한국수학논문집
2014 .01
-
Strong Convergence of Modified Iteration Processes for Relatively Weak Nonexpansive Mappings
Kyungpook Mathematical Journal
2012 .01
-
AN ITERATIVE ALGORITHM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & informatics
2010 .01
-
STRONG CONVERGENCE THEOREMS BY VISCOSITY APPROXIMATION METHODS FOR ACCRETIVE MAPPINGS AND NONEXPANSIVE MAPPINGS
Journal of applied mathematics & informatics
2009 .01
-
CONVERGENCE THEOREMS OF IMPLICIT ITERATION PROCESS WITH ERRORS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN BANACH SPACES
East Asian Mathematical Journal
2012 .01
-
APPROXIMATIONS OF THE ITERATIVE SEQUENCES FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
East Asian Mathematical Journal
2008 .01
-
WEAK AND STRONG CONVERGENCE OF THREE-STEP ITERATIONS WITH ERRORS FOR TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & informatics
2008 .01
-
WEAK AND STRONG CONVERGENCE OF THE NOOR ITERATION PROCESS FOR TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & computing
2007 .01
-
On iterative approximation of common fixed points of asymptotically nonexpansive mappings with applications
East Asian Mathematical Journal
2012 .01
-
Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings
한국수학논문집
2010 .01
-
APPROXIMATING COMMON FIXED POINTS FOR TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & informatics
2012 .01
-
Convergence theorems for generalized $I$-asymptotically nonexpansive mappings in a Hadamard spaces
대한수학회논문집
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0