Work

On a New Generalization of the Lax-Milgram Lemma

Year: 2024

Type: article

Abstract: We consider a new generalization of the celebrated Lax-Milgram Lemma, which is called the harmonic Lax-Milgram Lemma. Some special cases are discussed. New concepts are introduced. The auxiliary principle approach is applied to discuss the existence of the solution as well as to propose some iterative schemes for computing the approximate solution of harmonic Max-Milgram Lemma. Convergence analysis of the proposed methods is considered under some mild conditions. Ideas and techniques of this paper may stimulate further research.

Source: Earthline Journal of Mathematical Sciences

DOI: 10.34198/ejms.15125.023034

Authors: Khalida Inayat Noor, Muhammad Aslam Noor, Kunrada Kankam

Institutions: COMSATS University Islamabad, Suan Dusit University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404397724

FWCI: 0.602

Cites: 15

Cited by: 3

Related to: 10