An iterative method for solving split monotone variational inclusion and fixed point problems

作者：Shehu Yekini^*; Ogbuisi Ferdinard U

来源：Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2016, 110(2): 503-518.

DOI：10.1007/s13398-015-0245-3

• Split monotone variational inclusion problem
• Strictly pseudo contractive mapping
• Maximal monotone mapping
• Averaged mapping
• Resolvent mapping

The purpose of this article is to propose an iterative algorithm for finding an approximate solution of a split monotone variational inclusion problem for monotone operators which is also a solution of a fixed point problem for strictly pseudocontractive maps in real Hilbert spaces. Using our iterative algorithm, we state and prove a strong convergence theorem for approximating a common solution of split monotone variational inclusion problem and fixed point problem for strictly pseudocontractive maps in the framework of real Hilbert spaces. Our result complements and extends some related results in literature.

• 出版日期2016-9