On generalized Bregman nonspreading mappings and zero points of maximal monotone operator in a reflexive Banach space

Lateef Olakunle Jolaoso*, Oluwatosin Temitope Mewomo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The purpose of this paper is to investigate the existence and approximation of fixed points of generalized Bregman nonspreading mapping which are also the zeropoints of maximal monotone operator in a real reflexive Banach space. Without assumingthe ‘AKTT’ condition, we prove a strong convergence theorem for approximatinga common element in the set of fixed points of system of generalized Bregman nonspreadingmappings and the set of zero points of system of maximal monotone operators in a realreflexive Banach space. Our results improve and generalized many recent results in theliterature

Original languageEnglish
Pages (from-to)229-258
Number of pages30
JournalPortugaliae Mathematica
Volume76
Issue number3
DOIs
Publication statusPublished - 2019
Externally publishedYes

Keywords

  • Banach limit
  • Banach space
  • Bregman distance
  • Fixed point
  • Generalized nonspreading mapping
  • Maximal monotone operator
  • Zero point

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