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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제35권 제3호
- 발행연도
- 2017.1
- 수록면
- 313 - 321 (9page)
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In this note we establish a new non-convex hybrid iteration algorithm corresponding to Khan iterative process [4] and prove strong convergence theorems of common fixed points for a uniformly closed asymptotically family of countable quasi-Lipschitz mappings in Hilbert spaces. Moreover, the main results are applied to get the common fixed points of finite family of quasi-asymptotically nonexpansive mappings. The results presented in this article are interesting extensions of some current results.
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참고문헌 (13)
참고문헌 신청
H.H. Bauschke / 2001 / A weak-to-strong convergence principle for Fej´ermonotone methods in Hilbert spaces / Math. Oper. Res 26:248~264
A. Genel / 1975 / An example concerning fixed points / Israel. J. Math 22:81~86
J. Guan / 2015 / Non-convex hybrid algorithm for a family of countable quasi-Lipscitz mappings and applications / Fixed Point Theory Appl 2015
S.H. Khan / 2013 / A Picard-Mann hybrid iterative process / Fixed Point Theory Appl 2013
W.R. Mann / 1953 / Mean value methods in iteration / Proc. Amer. Math. Soc 4:506~510
A. Genel / 1975 / An example concerning fixed points / Israel. J. Math 22:81~86
J. Guan / 2015 / Non-convex hybrid algorithm for a family of countable quasi-Lipscitz mappings and applications / Fixed Point Theory Appl 2015
S.H. Khan / 2013 / A Picard-Mann hybrid iterative process / Fixed Point Theory Appl 2013
W.R. Mann / 1953 / Mean value methods in iteration / Proc. Amer. Math. Soc 4:506~510
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