본문 바로가기
KERD
논문KCI 등재

Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings

권영철|강신민|Xiaolong Qin|조선영
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2010.09|한국수학논문집 (Korean Journal of Mathematics)|제18권 제3호|pp. 213-227

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

convergencecommon fixed pointnonexpansive mappingimplicit iterative process
주제분류수학

초록

Convergence of an implicit iterative process is investigated for nonexpansive mappings. Strong and weak convergence theorems of common fixed points of two finite families of nonexpansive mappings are established in the framework of Banach spaces.

Abstract

Convergence of an implicit iterative process is investigated for nonexpansive mappings. Strong and weak convergence theorems of common fixed points of two finite families of nonexpansive mappings are established in the framework of Banach spaces.

참고문헌 (12)

  1. F. E. Browder, "Nonexpansive nonlinear operators in a Banach space", Proc. Natl. Acad. Sci. USA, 통권 : 54, pp.1041~1044 (1965)
  2. F. E. Browder, "Semicontractive and semiaccretive nonlinear mappings in Ba-nach spaces", Bull. Amer. Math. Soc., 74, pp.660~665 (1968)
  3. C. E. Chidume, "Strong convergence of an implicit iteration pro-cess for a finite family of nonexpansive mappings", Nonlinear Anal., 62, pp.1149~1156 (2005)
  4. D. van Dulst, "Equivalent norms and the ¯xed point property for nonexpansive mapping", J. Lond. Math. Soc., 25, pp.139~144 (1982)
  5. J. G. Falset, "Weak convergence the-orems for asymptotically nonexpansive mappings and semigroups", Nonlinear Anal., 43, pp.377~401 (2001)
  6. Y. Hao, "Some weak convergence theorems for a family of asymptotically nonexpansive nonself mappings", Fixed Point Theory Appl. (2010)
  7. Z. Opial, "Weak convergence of the sequence of successive appproximations for nonexpansive mappings", Bull. Amer. Math. Soc., 73, pp.591~597 (1967)
  8. S. Reich, "Weak convergence theorems for nonexpansive mappings in Banach spaces", J. Math. Anal. Appl., 67, pp.274~276 (1979)
  9. B. E. Rhoades, "The convergence of mean value iteration for a family of maps", Int. J. Math. Math. Sci., 2005, pp.3479~3485 (2005)
  10. K. K. Tan, "Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process", J. Math. Anal. Appl., 178, pp.301~308 (1993)
  11. S. Thianwan, "Weak and strong convergence of an implicity iteration process for a finite family of nonexpansive mappings", Sci. Math. Jpn., 66, pp.221~229 (2007)
  12. H. K. Xu, "An implicit iterative process for nonexpansive map-pings", Numer. Funct. Anal. Optim., 22, pp.767~773 (2001)

관련 논문AI추천

CONVERGENCE TO COMMON FIXED POINTS FOR A FINITE FAMILY OF GENERALIZED ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACESG. S. Saluja영남수학회 · East Asian Mathematical Journal2013 · 제29권 제1호AN IMPLICIT ITERATION PROCESS FOR A FINITE FAMILY OF STRONGLY PSEUDOCONTRACTIVE MAPPINGS이병수, Arif Raflq한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제3호Convergence theorems of a finite family of asymptotically quasi-nonexpansive type mappings in Banach spacesGurucharan Singh Saluja영남수학회 · East Asian Mathematical Journal2011 · 제27권 제1호STRONG CONVERGENCE OF AN IMPLICIT ITERATIVE PROCESS FOR AN INFINITE FAMILY OF STRICT PSEUDOCONTRACTIONS강신민, 조열제, Xiaolong Qin대한수학회 · 대한수학회보2010 · 제47권 제6호Convergence theorems of the modified Ishikawa iterative process for nonexpansive mappings강신민, 이석진영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Convergence of modified multi-step iterative for a finite family of asymptotically quasi-nonexpansive mappingsJuan Xiao, Lei Deng, Ming-ge Yang대한수학회 · 대한수학회논문집2014 · 제29권 제1호

이 간행물의 다른 논문 (10건)

Convergence theorems for Denjoy-Pettis integrable fuzzy mappings박춘기pp. 229-241Projective properties of representations of a quiver Q= ● → ● as R[x]-modules박상원, 한준철, 강정희pp. 243-252Approximation theorem for contraction C-semigroups이영섭pp. 253-259Results on fuzzy r-minimal semicompactness on fuzzy minimal spaces김명환pp. 261-269Eakin-Nagata theorem for commutative rings whose regular ideals are finitely generated장규환pp. 271-275
원문 보기