HU Shaotao CAI Gang. A new iterative method for solving generalized variational inequality problems and fixed point problems in Banach spaces[J]. Journal of Beijing Normal University(Natural Science), 2018, 54(2): 157-164. DOI: 10.16360/j.cnki.jbnuns.2018.02.002
Citation: HU Shaotao CAI Gang. A new iterative method for solving generalized variational inequality problems and fixed point problems in Banach spaces[J]. Journal of Beijing Normal University(Natural Science), 2018, 54(2): 157-164. DOI: 10.16360/j.cnki.jbnuns.2018.02.002

A new iterative method for solving generalized variational inequality problems and fixed point problems in Banach spaces

  • In this paper, we introduce an ewiterative algorithm to find common element in solutions ofgeneral variational inequality for two inverse-strongly accretive operators and common fixed points in an infinite family of strict pseudocontractive mappings in Banach spaces. Strong convergence theorems are obtained under suitable conditions. The results in this paper improve and extend recent results announced by many others.
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