In thispaper, we introduce and consider a new problem of finding u ∈ K(u) such that Au ∈C, where K : u→K(u) is a closed convex-valued set in the real Hilbert space H1, C is closed convex set in the real Hilbert space H2 respectively and A is linear bounded self-adjoint operator from H1 and H2. This problem is called the quasi split feasibility problem. We show that the quasi feasibility problem is equivalent to the fixed point problem and quasi variational inequality. These s alternative equivalent formulations are used to consider the existence of a solution of the quasi split feasibility problem. Some special cases are also considered. Problems considered in this paper may open further research opportunities in these fields.
Aslam Noor, Muhammad and Inayat Noor, Khalida
"Some New Classes of Quasi Split Feasibility Problems,"
Applied Mathematics & Information Sciences: Vol. 07
, Article 39.
Available at: https://dc.naturalspublishing.com/amis/vol07/iss4/39