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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.3
- 발행연도
- 2021.9
- 수록면
- 451 - 474 (24page)
- DOI
- 10.22771/nfaa.2021.26.03.02
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초록· 키워드
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In this paper, we investigate a hybrid algorithm for finding zeros of the sum of maximal monotone operators and Lipschitz continuous monotone operators which is also a common fixed point problem for finite family of relatively quasi-nonexpansive mappings and split feasibility problem in uniformly convex real Banach spaces which are also uniformly smooth. The iterative algorithm employed in this paper is design in such a way that it does not require prior knowledge of operator norm. We prove a strong convergence result for approximating the solutions of the aforementioned problems and give applications of our main result to minimization problem and convexly constrained linear inverse problem.
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참고문헌 (42)
참고문헌 신청
H. A. Abass / 2018 / Common solution of split equilibrium problem with no prior knowledge of operator norm / UPB Sci. Bull., Series A 80:175~190
H. A. Abass / 2020 / Strong convergence of an inertial forward-backward splitting method for accretive operators in real Banach space / Fixed Point Theory 21:397~412
H.A. Abass / 2020 / An inertial forward-backward splitting method for approximating solutions of certain optimization problem / J. Nonlinear Funct. Anal 2020
Y.I. Alber / 1996 / Theory and Applications of Nonlinear Operators and Accretive and Monotone Type. Lecture Notes Pure Appl. Math., 178 / Dekker :15~50
Y. I. Alber / 1994 / An iterative method for solving a class of nonlinear operator equations in Banach spaces / PanAmer. Math. J 4:39~54
H. A. Abass / 2020 / Strong convergence of an inertial forward-backward splitting method for accretive operators in real Banach space / Fixed Point Theory 21:397~412
H.A. Abass / 2020 / An inertial forward-backward splitting method for approximating solutions of certain optimization problem / J. Nonlinear Funct. Anal 2020
Y.I. Alber / 1996 / Theory and Applications of Nonlinear Operators and Accretive and Monotone Type. Lecture Notes Pure Appl. Math., 178 / Dekker :15~50
Y. I. Alber / 1994 / An iterative method for solving a class of nonlinear operator equations in Banach spaces / PanAmer. Math. J 4:39~54
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