Theorems for variational inequality problem and generalized system of modified variational inclusion problem to solve some economics problems

Name: Araya Kheawborisut

ThaSH: Computer algorithms

Abstract: The aim of this thesis was to introduce a modified form of generalized system of variational inclusion that is called generalized system of modified variational inclu-sion problem(GSMVIP). Motivated by several recent results related to the subgradient extragradient method, we proposed a new subgradient extragradient method for find-ing a common element of the set of solutions of GSMVIP and the set of a finite family of variational inequalities problem. Secondly, we introduced G-subgradient extragradi-ent method for solving G-variational inequality problem in Hilbert space endowed with graph. Under suitable assumptions, strong convergence theorem had been proved in framework of a Hilbert space. Finally, some numerical results indicated that the pro¬posed method is effective. Moreover, several computational tests and applications for market equilibrium problems in economics were given to illustrate the advantages of the proposed iterative schemes

King Mongkut's Institute of Technology Ladkrabang. Central Library

Address: BANGKOK

Email: Lifelong@kmitl.ac.th

Name: Atid Kangtunyakarn

Role: Thesis Advisor

Created: 2023

Modified: 2025-03-24

Issued: 2024-04-26

วิทยานิพนธ์/Thesis

application/pdf

eng

DegreeName: Doctor of philosophy

Level: Doctoral Degree

Descipline: Applied Mathematics

Grantor: King Mongkut's Institute of Technology Ladkrabang

©copyrights King Mongkut's Institute of Technology Ladkrabang

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