본문 바로가기
KERD
논문KCI 등재

Strong Convergence by Pseudocontractive Mappings for the Noor Iteration Scheme

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we establish a strong convergence for the Noor iterative scheme associated with Lipschitz strongly pseudocontractive mappings in real Banach spaces. It's proof-method is very simple by comparing with the previous proofs known.

Abstract

In this paper, we establish a strong convergence for the Noor iterative scheme associated with Lipschitz strongly pseudocontractive mappings in real Banach spaces. It's proof-method is very simple by comparing with the previous proofs known.

참고문헌 (17)

  1. V. Berinde, "Generalized Contractions and Applications (Romanian)" (1997), Editura Cub Press
  2. On strict pseudocontractions and a fixed point theorem, "J. Bogin", ~, pp.Technion Preprint MT-29 (1974)
  3. C. E. Chidume, "Approximation of fixed points of strongly pseudocontractive mappings", Proc. Amer. Math. Soc, 120(2), pp.545~551 (1994)
  4. C. E. Chidume, "Strong convergence theorems for uniformly continuous pseudocontractive maps", J. Math. Anal. Appl, 323(1), pp.88~99 (2006)
  5. K. Deimling, "Zeros of accretive operators", Manucripta Math, 13, pp.283~288 (1974)
  6. Z. Haiyun, "Approximation of fixed points of strongly pseudocontractive maps without Lipschitz assumption", Proc. Amer. Math. Soc, 125(6), pp.1705~1709 (1997)
  7. S. Ishikawa, "Fixed point by a new iteration method", Proc. Amer. Math. Soc, 44, pp.147~150 (1974)
  8. T. Kato, "Nonlinear semigroups and evolution equations", J. Math. Soc. Japan, 19, pp.508~520 (1967)
  9. W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
  10. M. A. Noor, "New approximation schemes for general variational inequalities", J. Math. Anal. Appl, 251, pp.217~229 (2000)
  11. M. A. Noor, "Three-step iterations for nonlinear accretive operator equations", J. Math. Anal. Appl, 274, pp.59~68 (2002)
  12. Liu Qihou, "Iterative sequences for asymptotically quasi-nonexpansive mappings with error member", J. Math. Anal. Appl, 259, pp.18~24 (2001)
  13. A. Rafiq, "Modified Noor iterations for nonlinear equations in Banach spaces", Appl. Math. Compt, 182, pp.589~595 (2006)
  14. A. Rafiq, "Iterative solution of nonlinear equations involving generalized hemicontractive mappings", Indian J. Math, 50(2), pp.365~380 (2008)
  15. A. Rafiq, "A new implicit iteration process for three strongly pseudocontractive mappings", Indian J. Math, 53(3), pp.419~428 (2011)
  16. J. Schu, "Approximating fixed points of Lipschitzian pseudocontractive mappings", Hous-ton J. Math, 19, pp.107~115 (1993)
  17. H. K. Xu, "Inequalities in Banach spaces with applications", Nonlinear Anal, 16(12), pp.1127~1138 (1991)

관련 논문AI추천

이 간행물의 다른 논문 (10건)