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A strong convergence algorithm for a fixed point constrained split null point problem
- Source :
- Rendiconti del Circolo Matematico di Palermo Series 2. 70:389-408
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- In this paper, we introduce a new algorithm with self adaptive step-size for finding a common solution of a split feasibility problem and a fixed point problem in real Hilbert spaces. Motivated by the self adaptive step-size method, we incorporate the self adaptive step-size to overcome the difficulty of having to compute the operator norm in the proposed method. Under standard and mild assumption on the control sequences, we establish the strong convergence of the algorithm, obtain a common element in the solution set of a split feasibility problem for sum of two monotone operators and fixed point problem of a demimetric mapping. Numerical examples are presented to illustrate the performance and the behavior of our method. Our result extends, improves and unifies other results in the literature.
Details
- ISSN :
- 19734409 and 0009725X
- Volume :
- 70
- Database :
- OpenAIRE
- Journal :
- Rendiconti del Circolo Matematico di Palermo Series 2
- Accession number :
- edsair.doi...........0fd5330a80a04c51557039f85dd5622a