Convergence Analysis of Solution Sets for Minty Vector Quasivariational Inequality Problems in Banach Spaces

Nguyen Van Hung (), Dinh Huy Hoang (), Vo Minh Tam () and Yeol Je Cho ()
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Nguyen Van Hung: Posts and Telecommunications Institute of Technology, Department of Scientific Fundamentals
Dinh Huy Hoang: Vinh University, Department of Mathematics
Vo Minh Tam: Dong Thap University, Department of Mathematics
Yeol Je Cho: Gyeongsang National University, Department of Mathematics Education

Chapter Chapter 18 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 441-460 from Springer

Abstract: Abstract In this paper, we consider convergence analysis of the solution sets for vector quasi-variational inequality problems of the Minty type. Based on the nonlinear scalarization function, we obtain a key assumption $${(H_h)}$$ ( H h ) by virtue of a sequence of gap functions. Then we establish the necessary and sufficient conditions for the Painlevé–Kuratowski lower convergence and Painlevé–Kuratowski convergence.

Keywords: Minty vector quasivariational inequality; Gap function; PainlevéKuratowski convergence; Continuous convergence; Convergence analysis (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_18

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DOI: 10.1007/978-981-33-6647-3_18

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