본문 바로가기
KERD
논문KCI 등재

Noor Iterations with Error for Non-Lipschitzian Mappings in Banach Spaces

Somyot Plubtieng|Rabian Wangkeeree
경북대학교 자연과학대학 수학과|2006.06|Kyungpook Mathematical Journal|제46권 제2호|pp. 201-209

1

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

Suppose C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T : C ! C be an asymptotically nonexpansive in the intermediate sense mapping. In this paper we introduced the three-step iterative sequence for such map with error members. Moreover, we prove that, if T is completely continuous then the our iterative sequence converges strongly to a fixed point of T.

참고문헌 (13)

  1. "Augemented Lagrangian and Operator-Splitting Methods in Nonlinear Mechanics", philadelphia (1989)
  2. "A fixed point theorem for asymptotically nonexpansive mappings", 35, pp.171~174 (1972)
  3. "Convergence analysis and applications of the GlowinskiLe Tallec splitting method for .nding a zero of the sum of two maximal monotone operaors", 97, pp.645~673 (1998)
  4. "Noor iterations for nonlinear Lipschitzian strongly accretive mappings", 11(4), pp.339~350 (2004)
  5. "Mann and Ishikawa iterationss with errors for non-Lipschitzian mappings in Banach spaces", 42, pp.1565~1570 (2001)
  6. "Iteration sequence for asymptotically quasi-nonexpansive mapping with an error member", 259, pp.18~24 (2001)
  7. "New approximation schemes for general variational inequalities", 251 (2000)
  8. "Three-step iterative algorithms for multivalued quasi variational inclusions", 255 (2001)
  9. "Three-step iterations for nonlinear accretive operator equations", 274, pp.59~68 (2002)
  10. "The equivalence between Mann- Ishikawa Iterations and multistep iteration", 58, pp.219~228 (2004)
  11. "Der Fixpunktsatz in Funktionalr？aumen", 2, pp.171~180 (1930)
  12. "Iterative construction of fixed points of strictly quasicontractive mapping", 40, pp.67~72 (1991)
  13. "Fixed-Point Iterations for Asymptotically Nonexpansive Mappings in Banach Spaces", 267, pp.444~453 (2002)

관련 논문AI추천

On The Convergence of the Modified Noor Iteration Process with Errors in the Class of Quasi-Contractive OperatorsArif Rafiq한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제1호Noor iterations for nonlinear Lipschitzian strongly accretive mappings정재욱, A. Rafiq, M. Aslam Noor한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호Ishikawa Iterative Process with Errors for Strongly Pseudo-contractive Mappings in Banach SpacesYongjin Li대한수학회 · 대한수학회논문집2004 · 제19권 제3호Iterative algorithms with errors for nonexpansive mappings in Banach spaces정종수대한수학회 · 대한수학회보2006 · 제43권 제4호Modified Ishikawa Iterative sequences with errors for asymptotically set-valued pseudocontractive mappings in Banach Spaces김종규, 남영만대한수학회 · 대한수학회보2006 · 제43권 제4호Convergence and Almost Stability of Ishikawa Iteration Method with Errors for Strictly Hemi-Contractive Operators in Banach Spaces강신민, 엄정석, Zeqing Liu한국수학교육학회 · 이론수학과 교직수학2004 · 제11권 제4호

이 간행물의 다른 논문 (15건)

Permuting Tri-Derivations in Prime and Semi-Prime Gamma RingsMehmet Ali ztrk, Young Bae Jun, Duran zdenpp. 153-167On the Value Distribution of ff(k)Jian-Ping Wangpp. 169-180On Partitioning Ideals of SemiringsVishnu Gupta, Jayprakash Ninu Chaudharipp. 181-184Durrmyer Type Summation Integral OperatorsNiraj Kumarpp. 185-188The Semicontinuous Quasi-uniformity of a FrameMaria Joo Ferreira, Jorge Picadopp. 189-200
원문 보기