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A viscosity-type algorithm for an infinitely countable family of (f,g)-generalized k-strictly pseudononspreading mappings in CAT(0) spaces

  • Kazeem O. Aremu , Hammed Abass , Chinedu Izuchukwu and Oluwatosin T. Mewomo ORCID logo EMAIL logo
From the journal Analysis

Abstract

In this paper, we propose a viscosity-type algorithm to approximate a common solution of a monotone inclusion problem, a minimization problem and a fixed point problem for an infinitely countable family of (f,g)-generalized k-strictly pseudononspreading mappings in a CAT(0) space. We obtain a strong convergence of the proposed algorithm to the aforementioned problems in a complete CAT(0) space. Furthermore, we give an application of our result to a nonlinear Volterra integral equation and a numerical example to support our main result. Our results complement and extend many recent results in literature.

Funding statement: The second and third authors acknowledge thankfully the bursary and financial support from Department of Science and Innovation and National Research Foundation, Republic of South Africa Center of Excellence in Mathematical and Statistical Sciences (DSI-NRF-COE-MaSS) Doctoral Bursary. The fourth author is supported by the National Research Foundation (NRF) of South Africa Incentive Funding for Rated Researchers (Grant Number 119903). Opinions expressed and conclusions arrived are those of the authors and are not necessarily to be attributed to the CoE-MaSS and NRF.

Acknowledgements

The authors thank the anonymous referee for valuable and useful suggestions and comments which led to the great improvement of the paper.

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Received: 2018-12-14
Revised: 2019-05-27
Accepted: 2019-12-09
Published Online: 2020-02-05
Published in Print: 2020-03-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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