Error Analysis For A Class Of Nonlinear Quasi Variational Inequalities

Keywords

F-monotonicity; Iterative algorithm; Quasicomplementarity problem; Quasivariational inequality; Residue vector

Abstract

In this paper, solvability and existence of unique solution of generalized strongly nonlinear quasivariational inequality are proved based on the notion of F-monotonicity. The associated complementarity problem is formulated. Equivalence between generalized strongly nonlinear quasicomplementarity problem (in short GSNQCP) and generalized strongly nonlinear quasivariational inequality problem (GSNQVIP) with respect to F-monotone mapping is established under certain conditions. An iterative algorithm is proposed to approximate the exact solution of the GSNQVIP with respect to F-monotone mapping and its strong convergence is established. The error bounds for the approximate solution of GSNQVIP are obtained with the help of the residue vector.

Publication Date

1-1-2017

Publication Title

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volume

24

Issue

2

Number of Pages

147-157

Document Type

Article

Personal Identifier

scopus

Socpus ID

85017091228 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85017091228

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