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

Mathematics and Applied Mathematics

Vellore Institute of Technology

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

Keywords

Banach space
monotone mapping
strong convergence
zeros

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Computational Mathematics

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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.",

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JF - Advances in Fixed Point Theory

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APPROXIMATING ZEROS OF MONOTONE OPERATORS IN BANACH SPACES

Abstract

Keywords

ASJC Scopus subject areas

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