New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points.

Let E be a real Banach space with dual space E ∗ . A new class of relatively weakJ-nonexpansive maps, T : E → E ∗ , is introduced and studied. An algorithm to approximate a common element of J-fixed points for a countable family of relatively weak J-nonexpansive maps and zeros of a countable family...

Full description

Saved in:
Bibliographic Details
Published in:Fixed Point Theory & Applications Vol. 2020; no. 1; pp. 1 - 17
Main Authors:
Format: Article
Published: Springer Nature, 1/31/2020
Subjects:
Online Access:Go to the source
Tags: Add Tag
Be the first to tag this record!
fields Array ( [recordID] => 1 )
Array ( )
http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=141511095&site=ehost-live
Array ( [@attributes] => Array ( [shortDbName] => a9h [uiTerm] => 141511095 [longDbName] => Academic Search Complete [uiTag] => AN ) [controlInfo] => Array ( [bkinfo] => Array ( ) [jinfo] => Array ( [jid] => Array ( [0] => 16871820 [1] => 2QFA ) [jtl] => Fixed Point Theory & Applications [issn] => 16871820 [maglogo] => N ) [pubinfo] => Array ( [dt] => 1/31/2020 [vid] => 2020 [iid] => 1 [pub] => Springer Nature ) [artinfo] => Array ( [ui] => Array ( [0] => 141511095 [1] => 10.1186/s13663-019-0668-1 ) [ppf] => 1 [ppct] => 16 [formats] => Array ( [fmt] => Array ( [0] => Array ( [@attributes] => Array ( [type] => T ) ) [1] => Array ( [@attributes] => Array ( [type] => P [size] => 1.7MB ) ) ) ) [tig] => Array ( [atl] => New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points. ) [aug] => Array ( [au] => Array ( [0] => Chidume, Charles E. [1] => Ezea, Chinedu G. ) [affil] => Array ( [0] => African University of Science and Technology, Abuja, Nigeria [1] => Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria ) ) [su] => Array ( [0] => NONEXPANSIVE mappings [1] => BANACH spaces [2] => ALGORITHMS ) [sug] => Array ( [subj] => Array ( [0] => NONEXPANSIVE mappings [1] => BANACH spaces [2] => ALGORITHMS ) ) [keyword] => Array ( [0] => 2-Uniformly convex and uniformly smooth real Banach space [1] => 47H06 [2] => 47H09 [3] => 47J05 [4] => 47J25 [5] => J-Fixed point [6] => Relatively weak J-nonexpansive map [7] => Strictly J-pseudocontractive [8] => Zeros of inverse strongly monotone map ) [ab] => Let E be a real Banach space with dual space E ∗ . A new class of relatively weakJ-nonexpansive maps, T : E → E ∗ , is introduced and studied. An algorithm to approximate a common element of J-fixed points for a countable family of relatively weak J-nonexpansive maps and zeros of a countable family of inverse strongly monotone maps in a 2-uniformly convex and uniformly smooth real Banach space is constructed. Furthermore, assuming existence, the sequence of the algorithm is proved to converge strongly. Finally, a numerical example is given to illustrate the convergence of the sequence generated by the algorithm. [pubtype] => Academic Journal [doctype] => Article [src] => R ) [language] => English [refInfo] => Array ( ) [copyright] => Array ( [@attributes] => Array ( [flag] => Y ) [custom] => Fixed Point Theory & Applications is a copyright of Springer, 2020. All Rights Reserved. [item] => Fixed Point Theory & Applications [holder] => Springer Nature [dt] => Array ( [@attributes] => Array ( [year] => 2020 ) ) ) [holdings] => Array ( [@attributes] => Array ( [islocal] => N ) ) ) )