Work

Well-posedness of a class generalized split quasi-inverse tensor variational inequalities

Year: 2025

Type: article

Abstract: This paper aims to study a generalized split quasi-inverse tensor variational inequality (GSQITVI) in tensor spaces. Building on the concept of well-posedness, we establish several metric-based features that provide necessary and sufficient conditions for the well-posedness of the GSQITVI. By utilizing the measure of non-compactness and the correlation theorem, we also derive results concerning the well-posedness of the problem. These findings emphasize the key properties of the GSQITVI and offer an analysis of the convergence of its solutions.

Source: Hacettepe Journal of Mathematics and Statistics

DOI: 10.15672/hujms.1605434

Authors: Qing Nie, Vo Minh Tam, Boling Chen

Institutions: Chongqing Jiaotong University, Dong Thap University, Yulin Normal 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: W4409371774

FWCI:

Cites: 1

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Related to: 10