On solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces

Fixexd point theory and applications

Yeol Je Cho¹  Suthep Suantai²  Watcharaporn Cholamjiak³  Prasit Cholamjiak⁴ 

[1] Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju, Republic of Korea;Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;School of Science, University of Phayao, Phayao, Thailand

关键词: nonspreading multi-valued mapping;    split equilibrium problem;    fixed point problem;    weak convergence;    Hilbert space;    47H10;    54H25;   

DOI  :  10.1186/s13663-016-0509-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce and study iterative schemes for solving split equilibrium problems and fixed point problems of nonspreading multi-valued mappings in Hilbert spaces and prove that the modified Mann iteration converges weakly to a common solution of the considered problems. Moreover, we present some examples and numerical results for the main results.

【 授权许可】

CC BY