Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces

被引：21

作者：

Aremu, K. O. ^{[1
]}

Jolaoso, L. O. ^{[1
]}

Izuchukwu, C. ^{[1
]}

Mewomo, O. T. ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

来源：

RICERCHE DI MATEMATICA | 2020年 / 69卷 / 01期

关键词：

Demicontractive multivalued mappings; Gate condition; Monotone inclusion problem; CAT(0) spaces; Fixed point problem; STRONG-CONVERGENCE THEOREM; NONEXPANSIVE ITERATIONS; ALGORITHM; MINIMIZATION; EQUILIBRIUM; OPERATORS;

D O I：

10.1007/s11587-019-00446-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we use the gate condition on two multivalued k-demicontractive mappings to approximate a common solution of a finite family of monotone inclusion problem and fixed point problem in CAT(0) space. Furthermore, we propose a Halpern-type proximal point algorithm and prove its strong convergence to a common solution of a finite family of monotone inclusion problems and fixed point problem for two multivalued k-demicontractive mappings in a complete CAT(0) space. We also applied our result to the problem of finding a common solution of a finite family of minimization problem and fixed point problem in CAT(0) space. Finally, numerical experiments of our result are presented to further show its applicability.

引用

页码：13 / 34

页数：22

共 56 条

[1]

ABASS H.A., 2018, Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms, V25, P369

[2] On the proximal point algorithm and demimetric mappings in CAT(0) spaces [J].