Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

Demonstratio Mathematica

Iqbal Hira¹  Abbas Mujahid²  de la Sen Manuel³ 

[1] Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria0002, South Africa;Department of Mathematics, Government College University, Lahore54000, Pakistan;Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, Pakistan;

关键词: viscosity approximation method;    variational inequality;    multivalued nonexpansive mapping;    cat(0) space;    47j25;    47h09;    37c25;   

DOI  :  10.1515/dema-2019-0031

来源: DOAJ

【 摘 要 】

We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space. Under certain appropriate conditions on parameters, we show that such a sequence converges strongly to a fixed point of the mapping which solves a variational inequality. We also present some convergence results for the implicit viscosity approximation method in complete ℝ-trees without the endpoint condition.

【 授权许可】

Unknown