Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  suggest and analyze an iteration method studied by Takahashi and Toyoda (J. Optim. Theory Appl. 118(2):417–428, 2003) for finding a common element of a set of fixed points of nonexpansive mappings and a set of solutions of variational inequalities with inverse strongly monotone mappings under some mild conditions. The strong convergence is proved and positive ansr is given to an open question posed by Takahashi and Toyoda.
['Zhao Yong Huang', 'Muhammad Aslam Noor', 'Eisa A. Al-Said']
I am writing a research paper on a idea On an Open Question of Takahashi for Nonexpansive Mappings and Inverse Strongly Monotone Mappings
[{"from": "human", "value": "I am writing a research paper on a idea On an Open Question of Takahashi for Nonexpansive Mappings and Inverse Strongly Monotone Mappings"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  suggest and analyze an iteration method studied by Takahashi and Toyoda (J. Optim. Theory Appl. 118(2):417\u2013428, 2003) for finding a common element of a set of fixed points of nonexpansive mappings and a set of solutions of variational inequalities with inverse strongly monotone mappings under some mild conditions. The strong convergence is proved and positive ansr is given to an open question posed by Takahashi and Toyoda."}]