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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.23 No.4
- 발행연도
- 2018.12
- 수록면
- 613 - 627 (15page)
- DOI
- 10.22771/nfaa.2018.23.04.01
이용수
초록· 키워드
오류제보하기
Recently, Olaleru and Okeke [19] introduced the class of asymptotically demicon- tractive mappings in the intermediate sense as a generalization of the class of asymptotically demicontractive mappings. The authors proved some convergence theorems for this class of nonlinear mappings in Hilbert spaces (see, [19]). The purpose of this paper is to continue the study of this class of nonlinear mappings. We prove some fixed point theorems for the class of asymptotically demicontractive mappings in the intermediate sense. We also prove some mean convergence theorems for this class of mappings in Hilbert spaces.
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참고문헌 (31)
참고문헌 신청
R.P. Agarwal / 2007 / Iterative construction of fixed points of nearly asymptotically nonexpansive mappings / J. Nonlinear Convex Anal 8(1):61~79
K. Aoyama / 2011 / Fixed point and mean convergence theorems for a family of λ-hybrid mappings / J. of Nonlinear Anal. and Optim 2:85~92
] R.E. Bruck / 1993 / Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property / Colloq. Math 65:169~179
C.E. Chidume / 2004 / Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense / Numer. Funct. Anal. Op-tim 25:239~257
C-S. Ge / 2012 / A hybrid algorithm with variable coefficients for asymptotically pseudocon-tractive mappings in the intermediate sense on unbounded domains / Nonlinear Anal. TMA 75:2859~2866
K. Aoyama / 2011 / Fixed point and mean convergence theorems for a family of λ-hybrid mappings / J. of Nonlinear Anal. and Optim 2:85~92
] R.E. Bruck / 1993 / Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property / Colloq. Math 65:169~179
C.E. Chidume / 2004 / Convergence theorems for mappings which are asymptotically nonexpansive in the intermediate sense / Numer. Funct. Anal. Op-tim 25:239~257
C-S. Ge / 2012 / A hybrid algorithm with variable coefficients for asymptotically pseudocon-tractive mappings in the intermediate sense on unbounded domains / Nonlinear Anal. TMA 75:2859~2866
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