Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces-Reference-Cited by-同舟云学术

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

Published:2019-01-01 Issue:1 Volume:52 Page:347-360
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Abbas Mujahid¹,Iqbal Hira²,de la Sen Manuel³

Affiliation:

1. Department of Mathematics , Government College University , Lahore 54000 , Pakistan ; Department of Mathematics and Applied Mathematics , University of Pretoria , Pretoria 0002 , South Africa

2. Department of Sciences and Humanities , National University of Computer and Emerging Sciences , Lahore Campus, Pakistan

3. Institute of Research and Development of Processes , University of the Basque Country , Campus of Leioa (Bizkaia) - P.O. Box 644- Bilbao , Barrio Sarriena, 48940- Leioa, Spain ;

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0031/pdf

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