Weakly and strongly convergence results for Split Variational Inclusion and fixed point problems

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we introduce a new iterative algorithm for finding a common solution for variational inclusion problem and fixed point problem in real Hilbert spaces. This method can be implemented more easily without the prior knowledge of the Lipschitz constant of component operators. The algorithm uses variable step-sizes which are updated at each iteration by a simple computation. In additional, weak and strong convergence results of the proposed algorithm are obtained under some mild conditions. Then, we establish the linear rate of convergence for the proposed algorithm. Finally, an example is given to illustrate the convergence of the algorithm.

Language:
English
Published:
Journal of Mathematical Extension, Volume:18 Issue: 5, May 2024
Page:
1
https://www.magiran.com/p2809587