논문KCI 등재
Convergence theorems of the modified Ishikawa iterative process for nonexpansive mappings
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.
Abstract
In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.
참고문헌 (22)
- R. E. Bruck, "Nonexpansive projections on subsets of Banach spaces", Paci c J. Math, 47, pp.341~355 (1973)
- Y. J. Cho, "Approximation of common xed points of an in nite family of nonexpansive mappings in Banach spaces", Comput. Math. Appl, 56, pp.2058~2064 (2008)
- Y. J. Cho, "Convergence theorems of xed points for a nite family of nonexpansive mappings in Banach spaces", Fixed Point Theory Appl, 2008 (2008)
- Y. J. Cho, "Viscosity approximation methods for a family of m-accretive mappings in re exive Banach spaces", Positivity, 12, pp.483~494 (2008)
- K. Goebel, "Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings" (1984), Marcel dekker
- A. Genel, "An example concerning xed points", Israel J. Math, 22, pp.81~86 (1975)
- S. Ishikawa, "Fixed points by a new iteration medthod", Proc. Am. Math. Soc, 44, pp.147~150 (1974)
- T. H. Kim, "Strong convergence of modi ed Mann iterations", J. Math. Anal. Appl, 61, pp.51~60 (2005)
- W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc., 4, pp.506~510 (1953)
- C. Martinez-Yanes, "Strong convergence of the CQ method for xed point iteration processes", Nonlinear Anal, 64, pp.2400~2411 (2006)
- K. Nakajo, "Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups", J. Math. Anal. Appl, 279, pp.372~379 (2003)
- S. Plubtieng, "Ungchittrakool, Strong convergence of modi ed Ishikawa itera- tion for two asymptotically nonexpansive mappings and semigroups", Nonlinear Anal, 67, pp.2306~2315 (2007)
- X. Qin, "Approximation of a zero point of accretive operator in Banach spaces", J. Math. Anal. Appl, 329, pp.415~424 (2007)
- X. Qin, "Strong convergence of the composite Halpern iteration", J. Math. Anal. Appl, 339, pp.996~1002 (2008)
- X. Qin, "Strong convergence theorems for nonexpansive mappings by viscosity approximation methods in Banach spaces", Math. J. Okayama Univ, 50, pp.113~125 (2008)
- X. Qin, "Strong convergence theorems for relatively nonexpansive mappings in a Banach space", Nonlinear Anal, 67, pp.1958~1965 (2007)
- S. Reich, "Strong convergence theorems for resolvent of accretive operators in Banach spaces", J. Math. Anal. Appl, 75, pp.287~292 (1980)
- S. Reich, "Weak convergence theorems for nonexpansive mappings in Banach spaces", J. Math. Anal. Appl, 67, pp.274~276 (1979)
- Y. Su, "Strong convergence theorems for asymptotically nonexpansive map- pings and asymptotically nonexpansive semigroups", Fixed Point Theory Appl, 2006 (2006)
- T. Suzuki, "Strong convergence of krasnoselskii and manns type sequences for one- parameter nonexpansive semigroups without bochner integrals", J. Math. Anal. Appl, 305, pp.227~239 (2005)
- K. K. Tan, "Approximating xed points of nonexpansive mappings by the Ishikawa iteration process", J. Math. Anal. Appl, 178, pp.301~308 (1993)
- H. K. Xu, "An iterative approach to quadratic optimization", J. Optim. Theory Appl, 116, pp.659~678 (2003)
관련 논문AI추천
Strong convergence of modified Ishikawa iteration for two relatively nonexpansive mappings in a Banach spaceXian Wang, Ying Liu, Zhen He영남수학회 · East Asian Mathematical Journal2009 · 제25권 제1호Strong convergence of modified ishikawa iterates for asymptotically nonexpansive maps with new control conditionsA. Anthony Eldred, P. Julia Mary대한수학회 · 대한수학회논문집2018 · 제33권 제4호Convergence of an Implicit Iterative Process for Two Finite Families of Nonexpansive Mappings강신민, 권영철, 조선영, Xiaolong Qin강원경기수학회 · 한국수학논문집2010 · 제18권 제3호On convergence theorems of iterative schemes for pseudocontractive mappings김종규, Arif Rafiq영남수학회 · East Asian Mathematical Journal2012 · 제28권 제3호On the convergence of an iteration process for nonself totally asymptotically I-quasi-nonexpansive mappingsBirol Gunduz, Hemem Dutta장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제3호STRONG CONVERGENCE OF GENERAL ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES정종수대한수학회 · 대한수학회지2017 · 제54권 제3호
이 간행물의 다른 논문 (9건)
Common Fixed Points of Generalized Contractive Mappings유미자, 조선영pp. 1-10Common Fixed Point Theorems for Compatible Mappings of Type (A) and (P) with Applications in Dynamic Programming이석진, Guojing Jiang, Min Liu, 강신민pp. 11-26Some criterion for certain multivalently analytic functions and multivalently meromorphic functionsHuseyin Irmak, Krzysztof Piejkopp. 39-44Sensitivity Analysis for Completely Generalized Nonlinear Variational InclusionsFirdosh Khan, Salahuddinpp. 45-53Complexity analysis of IPM for P*(κ) LCPs based on eligible kernel functions조경미, 김민경pp. 55-68
