CYCLIC PROJECTION METHODS FOR SOLVING THE SPLIT COMMON ZERO POINT PROBLEM IN BANACH SPACES

Simeon Reich; Truong Minh Tuyen

doi:10.24193/fpt-ro.2025.1.22

CYCLIC PROJECTION METHODS FOR SOLVING THE SPLIT COMMON ZERO POINT PROBLEM IN BANACH SPACES

Simeon Reich, Truong Minh Tuyen

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study the split common zero point problem with multiple output sets (SCZPPMOS, for short) in Banach spaces. We introduce two new cyclic projection algorithms for finding a solution to SCZPPMOS and establish the strong convergence of the sequences generated by them.

Original language	English
Pages (from-to)	353-370
Number of pages	18
Journal	Fixed Point Theory
Volume	25
Issue number	1
DOIs	https://doi.org/10.24193/fpt-ro.2025.1.22
State	Published - Feb 2024

Keywords

Maximal monotone operator
metric projection
uniformly convex space
zero point

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.24193/fpt-ro.2025.1.22

Cite this

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title = "CYCLIC PROJECTION METHODS FOR SOLVING THE SPLIT COMMON ZERO POINT PROBLEM IN BANACH SPACES",

abstract = "We study the split common zero point problem with multiple output sets (SCZPPMOS, for short) in Banach spaces. We introduce two new cyclic projection algorithms for finding a solution to SCZPPMOS and establish the strong convergence of the sequences generated by them.",

keywords = "Maximal monotone operator, metric projection, uniformly convex space, zero point",

author = "Simeon Reich and {Minh Tuyen}, Truong",

year = "2024",

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AB - We study the split common zero point problem with multiple output sets (SCZPPMOS, for short) in Banach spaces. We introduce two new cyclic projection algorithms for finding a solution to SCZPPMOS and establish the strong convergence of the sequences generated by them.

KW - Maximal monotone operator

KW - metric projection

KW - uniformly convex space

KW - zero point

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CYCLIC PROJECTION METHODS FOR SOLVING THE SPLIT COMMON ZERO POINT PROBLEM IN BANACH SPACES

Abstract

Keywords

ASJC Scopus subject areas

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