Split common fixed point problems for demicontractive operators. (English) Zbl 07101813
Summary: In this paper, first, we introduce a new iterative algorithm involving demicontractive mappings in Hilbert spaces and, second, we prove some strong convergence theorems of the proposed method with the Armijo-line search to show the existence of a solution of the split common fixed point problem. Finally, we give some numerical examples to illustrate our main results.
MSC:
| 47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |
| 47H10 | Fixed-point theorems |
| 58C30 | Fixed-point theorems on manifolds |
Keywords:
equilibrium problem; variational inequality; split equilibrium problem; split variational inequality; split common fixed point problem; demicontractive mappingReferences:
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