Split common fixed point and common null point problem
Copyright policy )Split common fixed point and common null point problem
In this paper, we present a new algorithm for solving the split common null point and common fixed point problem, to find a point that belongs to the common element of common zero points of an infinite family of maximal monotone operators and common fixed points of an infinite family of demicontractive mappings such that its image under a linear transformation belongs to the common zero points of another infinite family of maximal monotone operators and its image under another linear transformation belongs to the common fixed point of another infinite family of demicontractive mappings in the image space. We establish strong convergence for the algorithm to find a unique solution of the variational inequality, which is the optimality condition for the minimization problem. As special cases, we shall use our results to study the split equilibrium problems and the split optimization problems.
- University of Science and Technology of Mazandaran Iran (Islamic Republic of)
Programming in abstract spaces, Convex programming, common fixed point problem, split common null point, split equilibrium problem, maximal monotone operator, strong convergence, Iterative procedures involving nonlinear operators, split optimization problems, Monotone operators and generalizations
Programming in abstract spaces, Convex programming, common fixed point problem, split common null point, split equilibrium problem, maximal monotone operator, strong convergence, Iterative procedures involving nonlinear operators, split optimization problems, Monotone operators and generalizations
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