A Simple proof for the algorithms of relaxed (u, v)-cocoercive mappings and \alpha-inverse strongly monotone mappings

In this paper, a simple proof is presented for the convergence of the algorithms for the class of relaxed (u, v)-cocoercive mappings and \alpha-inverse strongly monotone mappings. Based on \alpha-expansive maps, for example, a simple proof of the convergence of the recent iterative algorithms by relaxed (u, v)-cocoercive mappings due to Kumam-Jaiboon is provided. Also a simple proof for the convergence of the iterative algorithms by inverse-strongly monotone mappings due to Iiduka-Takahashi in a special case is provided. These results are an improvement as well as a refinement of previously known results.

A Simple proof for the algorithms of relaxed (u, v)-cocoercive mappings and \alpha-inverse strongly monotone mappings Keywords:

Inverse-strongly monotone mapping , Strongly monotone mapping , Relaxed (u , v)-cocoercive mapping

A Simple proof for the algorithms of relaxed (u, v)-cocoercive mappings and \alpha-inverse strongly monotone mappings authors

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Department of Mathematics, Lorestan University, P.O. Box ۴۶۵, Khoramabad, Lorestan, Iran

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Department of Mathematics Texas and University-Kingsville ۷۰۰ University Blvd., MSC ۱۷۲ Kingsville, Texas ۷۸۳۶۳-۸۲۰۲, USA

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School of Mathematics, Statistics, National University of Ireland, Galway, Ireland

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https://civilica.com/doc/1561106

Document National Code:

JR_IJNAA-12-2_026

Index date: 2 December 2022

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Type of center: دانشگاه دولتی

Paper count: 11,399

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