Research Article
Modified Proximal Point Algorithms for Variational Inclusion Problems on Hadamard Manifolds
https://doi.org/10.21203/rs.3.rs-1994483/v1
This work is licensed under a CC BY 4.0 License
published 12 Jan, 2024
You are reading this latest preprint version
In this article, we propose two modified proximal point algorithms for computing the solutions of theinclusion problems in the setting of Hadamard manifolds.In the first algorithm, we use line search method, whereas in second algorithm,we use simple self adaptive stepsize rule.We study the convergence analysis for both the algorithms under mild assumptions.We present a numerical example to demonstrate the efficiency of the proposed algorithms.
MSC Classification: 47J22 , 47H05 , 58A05
Variational inequality problems
Variational inclusion problems
Maximal monotone vector fields
Hadamard manifolds
published 12 Jan, 2024
Editorial decision: Major Revision
29 Jul, 2023
Reviewers agreed at journal
17 Oct, 2022
Reviewers invited by journal
22 Sep, 2022
Editor assigned by journal
26 Aug, 2022
First submitted to journal
24 Aug, 2022
You are reading this latest preprint version