지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper, we study the convergence analysis of the sequences generated by the proximal point method for an infinite family of pseudo-monotone equilibrium problems in Banach spaces. We first prove the weak convergence of the generated sequence to a common solution of the infinite family of equilibrium problems with summable errors. Then, we show the strong convergence of the generated sequence to a common equilibrium point by some various additional assumptions. We also consider two variants for which we establish the strong convergence without any additional assumption. For both of them, each iteration consists of a proximal step followed by a computationally inexpensive step which ensures the strong convergence of the generated sequence. Also, for this two variants we are able to characterize the strong limit of the sequence: for the first variant it is the solution lying closest to an arbitrarily selected point, and for the second one it is the solution of the problem which lies closest to the initial iterate. Finally, we give a concrete example where the main results can be applied.
목차
등록된 정보가 없습니다.
참고문헌 (29)
참고문헌 신청
Y. I. Alber / 1996 / Theory and applications of nonlinear operators of accretive and monotone type / Dekker :15~50
D. Amir / 1986 / Characterizations of inner product spaces / Birkhauser Verlag
M. Bianchi / 1996 / Generalized monotone bifunctions and equilibrium problems / J. Optim. Theory Appl 90(1):31~43
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63(1-4):123~145
H. Brezis / 1972 / A remark on Ky Fan's minimax principle / Boll. Un. Mat. Ital. (4) 6:293~300
D. Amir / 1986 / Characterizations of inner product spaces / Birkhauser Verlag
M. Bianchi / 1996 / Generalized monotone bifunctions and equilibrium problems / J. Optim. Theory Appl 90(1):31~43
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63(1-4):123~145
H. Brezis / 1972 / A remark on Ky Fan's minimax principle / Boll. Un. Mat. Ital. (4) 6:293~300
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Applications of infinite matrices and $\lambda$-convergence for fuzzy sequence spaces
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2021 .01
-
Common fixed point theorems for complex-valued mappings with applications
한국수학논문집
2022 .06
-
Strong Convergence Theorems by Modified Four Step Itera tive Scheme with Errors for Three Nonexpansive Mappings
Kyungpook Mathematical Journal
2015 .01
-
Regularized penalty method for non-stationary set valued equilibrium problems in Banach spaces
한국수학논문집
2017 .06
-
Strong Convergence of a Bregman Projection Method for the Solution of Pseudomonotone Equilibrium Problems in Banach Spaces
Kyungpook Mathematical Journal
2024 .03
-
STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES
Journal of applied mathematics & informatics
2015 .01
-
On vector valued difference sequence spaces
한국수학논문집
2024 .09
-
EXISTENCE OF SOLUTIONS FOR MULTI-VALUED EQUILIBRIUM PROBLEMS
Nonlinear Functional Analysis and Applications
2018 .12
-
Weak and Strong Convergence of Hybrid Subgradient Method for Pseudomonotone Equilibrium Problems and Nonspreading- Type Mappings in Hilbert Spaces
Kyungpook Mathematical Journal
2019 .01
-
STRONG CONVERGENCE OF HYBRID ITERATIVE SCHEMES WITH ERRORS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
순수 및 응용수학
2018 .01
-
A new mapping for finding a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem
한국수학논문집
2019 .01
-
Improved local convergence analysis for a three point method of convergence order 1.839$\dots$
대한수학회보
2019 .01
-
A new algorithm for solving mixed equilibrium problem and finding common fixed points of Bregman strongly nonexpansive mappings
한국수학논문집
2018 .01
-
SOME MONOMIAL SEQUENCES ARISING FROM GRAPHS
대한수학회보
2015 .01
-
Regularized equilibrium problems in Banach spaces
한국수학논문집
2016 .01
-
Solvability for a system of generalized nonlinear ordered variational inclusions in ordered Banach spaces
한국수학논문집
2017 .01
-
Nonlinear algorithms for a common solution of a system of variational inequalities, a split equilibrium problem and fixed point problems
한국수학논문집
2016 .01
-
Equivalent conditions of complete moment convergence and complete integral convergence for NOD sequences
대한수학회보
2017 .01
-
ORLICZ SEQUENCE SPACES OF FOUR DIMENSIONAL REGULAR MATRIX AND THEIR CLOSED IDEAL
호남수학학술지
2019 .01
-
Approximation Solvability for a System of Nonlinear Varia- tional Type Inclusions in Banach Spaces
Kyungpook Mathematical Journal
2019 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0