A simple proof for Imnang’s algorithms

Ebrahim Soori; Donal O’Regan; Ravi P. Agarwal

doi:10.1186/s13660-022-02904-y

A simple proof for Imnang’s algorithms

Ebrahim Soori
, Donal O’Regan
, Ravi P. Agarwal

Mathematics

Lorestan University
Texas A&M University-Kingsville

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

Abstract

In this paper, a simple proof of the convergence of the recent iterative algorithm by relaxed (u, v) -cocoercive mappings due to Imnang (J. Inequal. Appl. 2013:249, 2013) is presented.

Original language	English
Article number	165
Journal	Journal of Inequalities and Applications
Volume	2022
Issue number	1
DOIs	https://doi.org/10.1186/s13660-022-02904-y
Publication status	Published - 2022

Keywords

Relaxed (u, v) -cocoercive mapping
Strong convergence
α-expansive mapping

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10.1186/s13660-022-02904-y

Cite this

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title = "A simple proof for Imnang{\textquoteright}s algorithms",

abstract = "In this paper, a simple proof of the convergence of the recent iterative algorithm by relaxed (u, v) -cocoercive mappings due to Imnang (J. Inequal. Appl. 2013:249, 2013) is presented.",

keywords = "Relaxed (u, v) -cocoercive mapping, Strong convergence, α-expansive mapping",

author = "Ebrahim Soori and Donal O{\textquoteright}Regan and Agarwal, \{Ravi P.\}",

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year = "2022",

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AU - O’Regan, Donal

AU - Agarwal, Ravi P.

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N2 - In this paper, a simple proof of the convergence of the recent iterative algorithm by relaxed (u, v) -cocoercive mappings due to Imnang (J. Inequal. Appl. 2013:249, 2013) is presented.

AB - In this paper, a simple proof of the convergence of the recent iterative algorithm by relaxed (u, v) -cocoercive mappings due to Imnang (J. Inequal. Appl. 2013:249, 2013) is presented.

KW - Relaxed (u, v) -cocoercive mapping

KW - Strong convergence

KW - α-expansive mapping

UR - https://www.scopus.com/pages/publications/85145195417

U2 - 10.1186/s13660-022-02904-y

DO - 10.1186/s13660-022-02904-y

M3 - Article

AN - SCOPUS:85145195417

SN - 1025-5834

VL - 2022

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

IS - 1

M1 - 165

ER -

A simple proof for Imnang’s algorithms

Abstract

Keywords

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