APPROXIMATING ZEROS OF MONOTONE OPERATORS IN BANACH SPACES

Rajendra Pant; Prashant Patel

doi:10.28919/afpt/8474

APPROXIMATING ZEROS OF MONOTONE OPERATORS IN BANACH SPACES

Rajendra Pant, Prashant Patel

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

Abstract

In this study, we present a novel iterative algorithm that aims to identify the zeros of the sum of two monotone operators. Our algorithm demonstrates strong convergence in a Banach space. Additionally, we provide a few examples of the practical implications of our findings. Finally, we discuss numerical examples and demonstrate the convergence behavior of the proposed algorithm.

Original language	English
Article number	17
Journal	Advances in Fixed Point Theory
Volume	14
DOIs	https://doi.org/10.28919/afpt/8474
Publication status	Published - 2024
Externally published	Yes

Keywords

Banach space
monotone mapping
strong convergence
zeros

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Computational Mathematics

Access to Document

10.28919/afpt/8474

Cite this

@article{4598a3cb551944119c2ac53f62e83f3a,

title = "APPROXIMATING ZEROS OF MONOTONE OPERATORS IN BANACH SPACES",

abstract = "In this study, we present a novel iterative algorithm that aims to identify the zeros of the sum of two monotone operators. Our algorithm demonstrates strong convergence in a Banach space. Additionally, we provide a few examples of the practical implications of our findings. Finally, we discuss numerical examples and demonstrate the convergence behavior of the proposed algorithm.",

keywords = "Banach space, monotone mapping, strong convergence, zeros",

author = "Rajendra Pant and Prashant Patel",

note = "Publisher Copyright: {\textcopyright} 2024 the author(s).",

year = "2024",

doi = "10.28919/afpt/8474",

language = "English",

volume = "14",

journal = "Advances in Fixed Point Theory",

issn = "1927-6303",

publisher = "SCIK Publishing Corporation",

}

TY - JOUR

T1 - APPROXIMATING ZEROS OF MONOTONE OPERATORS IN BANACH SPACES

AU - Pant, Rajendra

AU - Patel, Prashant

PY - 2024

Y1 - 2024

N2 - In this study, we present a novel iterative algorithm that aims to identify the zeros of the sum of two monotone operators. Our algorithm demonstrates strong convergence in a Banach space. Additionally, we provide a few examples of the practical implications of our findings. Finally, we discuss numerical examples and demonstrate the convergence behavior of the proposed algorithm.

AB - In this study, we present a novel iterative algorithm that aims to identify the zeros of the sum of two monotone operators. Our algorithm demonstrates strong convergence in a Banach space. Additionally, we provide a few examples of the practical implications of our findings. Finally, we discuss numerical examples and demonstrate the convergence behavior of the proposed algorithm.

KW - Banach space

KW - monotone mapping

KW - strong convergence

KW - zeros

UR - https://www.scopus.com/pages/publications/85193498748

U2 - 10.28919/afpt/8474

DO - 10.28919/afpt/8474

M3 - Article

AN - SCOPUS:85193498748

SN - 1927-6303

VL - 14

JO - Advances in Fixed Point Theory

JF - Advances in Fixed Point Theory

M1 - 17

ER -

APPROXIMATING ZEROS OF MONOTONE OPERATORS IN BANACH SPACES

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this