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
- 2009.1
- 수록면
- 701 - 712 (12page)
이용수
초록· 키워드
오류제보하기
In this paper, we first introduce a family S = {Sn : C → C} of
non-Lipschitzian mappings, called total asymptotically nonexpansive (briefly, TAN) on a
nonempty closed convex subset C of a real Banach space X, and next give necessary and
sufficient conditions for strong convergence of the sequence {xn} defined recursively by the
algorithm xn+1 = Snxn, n ≥ 1, starting from an initial guess x1 ∈ C, to a common fixed
point for such a continuous TAN family S in Banach spaces. Finally, some applications to
a finite family of TAN self mappings are also added.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
C. E. Chidume / 2007 / Approximation of common xed points for - nite families of total asymptotically nonexpansive mappings / J. Math. Anal. Appl 333 : 128 ~ 141
G. E. Kim / 2001 / Mann and Ishikawa iterations with errors for non- Lipschitzian mappings in Banach spaces / Comput. Math. Appl 42 : 1565 ~ 1570
K. Goebel / 1972 / A xed point theorem for asymptotically nonexpansive mappings / Proc. Amer. Math. Soc 35 : 171 ~ 174
K. Goebel / 1990 / Topics in Metric Fixed Point Theory / Cambridge Univ. Press
K. K. Tan / 1993 / Approximating xed points of nonexpansive mappings by the Ishikawa iteration process / J. Math. Anal. Appl 178 : 301 ~ 308
G. E. Kim / 2001 / Mann and Ishikawa iterations with errors for non- Lipschitzian mappings in Banach spaces / Comput. Math. Appl 42 : 1565 ~ 1570
K. Goebel / 1972 / A xed point theorem for asymptotically nonexpansive mappings / Proc. Amer. Math. Soc 35 : 171 ~ 174
K. Goebel / 1990 / Topics in Metric Fixed Point Theory / Cambridge Univ. Press
K. K. Tan / 1993 / Approximating xed points of nonexpansive mappings by the Ishikawa iteration process / J. Math. Anal. Appl 178 : 301 ~ 308
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Convergence theorems of a finite family of asymptotically quasi-nonexpansive type mappings in Banach spaces
East Asian Mathematical Journal
2011 .01
-
Noor Iterations with Error for Non-Lipschitzian Mappings in Banach Spaces
Kyungpook Mathematical Journal
2006 .01
-
Convergence of modified multi-step iterative for a finite family of asymptotically quasi-nonexpansive mappings
대한수학회논문집
2014 .01
-
Remarks on Fixed Point Theorems of Non-Lipschitzian Self-mappings
Kyungpook Mathematical Journal
2005 .01
-
WEAK AND STRONG CONVERGENCE OF THREE-STEP ITERATIONS WITH ERRORS FOR TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & informatics
2008 .01
-
CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Journal of applied mathematics & informatics
2009 .01
-
WEAK AND STRONG CONVERGENCE OF THE NOOR ITERATION PROCESS FOR TWO ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & computing
2007 .01
-
Weak and strong convergence of Mann's-type iterations for a countable family of nonexpansive mappings
대한수학회지
2008 .01
-
AN ITERATIVE ALGORITHM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Journal of applied mathematics & informatics
2010 .01
-
Approximating common fixed points of asymptotically nonexpansive mappings
대한수학회보
2005 .01
-
STRONG CONVERGENCE THEOREMS FOR FIXED POINT PROBLEMS OF ASYMPTOTICALLY QUASI-？？-NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE
Journal of applied mathematics & informatics
2014 .01
-
Approximating fixed points of nonexpansive type mappings in Banach spaces without uniform convexity
대한수학회보
2013 .01
-
APPROXIMATING COMMON FIXED POINTS OF ONE-STEP ITERATIVE SCHEME WITH ERROR FOR NON-SELF ASYMPTOTICALLY NONEXPANSIVE IN THE INTERMEDIATE SENSE MAPPINGS
East Asian Mathematical Journal
2010 .01
-
Weak and strong convergence of three step iteration scheme with errors for non-self asymptotically nonexpansive mappings
한국수학논문집
2014 .01
-
Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings
한국수학논문집
2010 .01
-
On iterative approximation of common fixed points of asymptotically nonexpansive mappings with applications
East Asian Mathematical Journal
2012 .01
-
A GENERAL ITERATIVE ALGORITHM FOR A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN A HILBERT SPACE
Journal of applied mathematics & informatics
2010 .01
-
Approximation of Common Fixed Points of Non-self Asymptotically Nonexpansive Mappings
East Asian Mathematical Journal
2009 .01
-
AN IMPLICIT ITERATES FOR NON-LIPSCHITZIAN ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CAT(0) SPACES
East Asian Mathematical Journal
2012 .01
-
Strong convergence of an iterative algorithm for a modified system of variational inequalities and a finite family of nonexpansive mappings in Banach spaces
한국수학논문집
2015 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0