Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications. (6th November 2020)

• Record Type: Journal Article
• Authors: Hammad, Hasanen A.; Rehman, Habib ur; De la Sen, Manuel
• Other Names: Wang Guoqiang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2020(2020)
• Publication Date: 2020-11-06
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2020/7487383
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Our main goal in this manuscript is to accelerate the relaxed inertial Tseng-type (RITT) algorithm by adding a shrinking projection (SP) term to the algorithm. Hence, strong convergence results were obtained in a real Hilbert space (RHS). A novel structure was used to solve an inclusion and a minimization problem under proper hypotheses. Finally, numerical experiments to elucidate the applications, performance, quickness, and effectiveness of our procedure are discussed.