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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.25 No.2
- 발행연도
- 2020.1
- 수록면
- 273 - 301 (29page)
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초록· 키워드
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In this paper, existence and uniqueness results for the solution of a new classof equilibrium problem is established. Using the KKM technique, we establish the existenceand uniqueness of solutions of a new generalized mixed equilibrium problem (NGMEP) withtrifunctions. Further, we propose an iterative algorithm for finding a common element inthe solution set of the NGMEP and a fixed point set of a nonlinear mapping. We provedthe strong convergence of the algorithm to a common element in the solution set of a systemof NGMEP and a fixed point set of a countable family of totally quasi-φ-asymptoticallynonexpansive mapping in the framework of a real uniformly convex and uniformly smoothBanach space. Our result generalize many other results obtained recently in this direction.
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참고문헌 (40)
참고문헌 신청
R.P. Agarwal / 2009 / Fixed point theory for Lipschitizian-type mappings with Applications / Springer
R. P. Agarwal / 2007 / Generalized projection algorithms for nonlinear operators / Numer. Funct. Anal. Optim 28:1197~1215
M. R. Bai / 2006 / Variational-like inequalities with relaxed η-αpsuodomonotone mappings in Banach spaces / Appl. Math. Lett 19(6):547~554
M. Bianchi / 2004 / Equilibrium problems under generalized convexity and gen-eralized monotonicity / J. Global Optim. 30(2-3):121~134
M. Bianchi / 1996 / Generalized monotone bifunctions and equilibriums / J. Op-tim. Theory Appl. 90(1):31~43
R. P. Agarwal / 2007 / Generalized projection algorithms for nonlinear operators / Numer. Funct. Anal. Optim 28:1197~1215
M. R. Bai / 2006 / Variational-like inequalities with relaxed η-αpsuodomonotone mappings in Banach spaces / Appl. Math. Lett 19(6):547~554
M. Bianchi / 2004 / Equilibrium problems under generalized convexity and gen-eralized monotonicity / J. Global Optim. 30(2-3):121~134
M. Bianchi / 1996 / Generalized monotone bifunctions and equilibriums / J. Op-tim. Theory Appl. 90(1):31~43
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