Two inertial CQ-algorithms for generalized split inverse problem of infinite family of demimetric mappings

The Journal of Nonlinear Sciences and its Applications

article

C. Suanoom¹  S. E. Yimer²  A. G. Gebrie² 

[1]Program of Mathematics, Science, Applied Science center, Faculty of Science

[2]Department of Mathematics, College of Computational, Natural Science, Debre Berhan, University

关键词: Split common fixed-point problem;    \(\kappa\)-demimetric mapping;    inertial term;    CQ-algorithm;    Hilbert space;    strong convergence;   

DOI  :  10.22436/jnsa.016.01.01

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, two new inertial CQ-algorithms with strong convergence results are constructed to approximate the solution of the generalized split common fixed point problem: given as a task of finding a point that belongs to the intersection of an infinite family of fixed point sets of demimetric mappings such that its image under an infinite number of linear transformations belongs to the intersection of another infinite family of fixed point sets of demimetric mappings in the image space. The algorithms are established based on the CQ-projection method with inertial effect and step-size selection technique so that the implementation of the proposed algorithms does not need any prior information about the operator norms. The proposed methods improve, complement, and generalize many of the important results in the literature.

【 授权许可】

Unknown