Inertial Accelerated Steepest Descent Algorithm for Generalized Split Common Fixed Point Problems

被引：0

作者：

Gebrie, Anteneh Getachew ^{[1
]}

Rouhani, Behzad Djafari ^{[2
]}

Gibali, Aviv ^{[3
,4
]}

机构：

[1] Debre Berhan Univ, Coll Computat & Nat Sci, Dept Math, POB 445, Debre Berhan, Ethiopia

[2] Univ Texas El Paso, Dept Math Sci, El Paso, TX 79968 USA

[3] Braude Coll, Dept Math, IL-2161002 Karmiel, Israel

[4] Univ Haifa, Ctr Math & Sci Computat, IL-3498838 Haifa, Israel

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2023年 / 49卷 / 03期

关键词：

Fixed point problem; Split inverse problem; -Demimetric mapping; Inertial term; Hilbert space; SHRINKING PROJECTION METHOD; STRONG-CONVERGENCE THEOREMS; ITERATIVE ALGORITHMS; WEAK-CONVERGENCE; MAPPINGS; OPERATORS; FAMILY; SETS;

D O I：

10.1007/s41980-023-00784-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by some recent works in the field of fixed point theory, in this paper, we consider the generalized split common fixed point problem for demimetric mappings and we present an accelerated steepest descent method that uses a new step-size selection technique. Our work generalizes some related results from the literature on split common fixed point problems. Under suitable assumptions, the weak convergence of the proposed method is established, and primary numerical experiments demonstrate the performance of our new scheme.

引用

页数：24

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[1] Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space [J].