On θ -generalized demimetric mappings and monotone operators in Hadamard spaces

Demonstratio mathematica

article

Grace N. Ogwo¹  Chinedu Izuchukwu¹  Kazeem O. Aremu¹  Oluwatosin T. Mewomo¹ 

[1] School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal;DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS)

关键词: θ-generalized demimetric mappings;    demimetric mappings;    monotone operators;    monotone inclusion problems;    Hadamard spaces;   

DOI  :  10.1515/dema-2020-0006

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

Our main interest in this article is to introduce and study the class of θ -generalized demimetric mappings in Hadamard spaces. Also, a Halpern-type proximal point algorithm comprising this class of mappings and resolvents of monotone operators is proposed, and we prove that it converges strongly to a fixed point of a θ -generalized demimetric mapping and a common zero of a finite family of monotone operators in a Hadamard space. Furthermore, we apply the obtained results to solve a finite family of convex minimization problems, variational inequality problems and convex feasibility problems in Hadamard spaces.

【 授权许可】

CC BY