Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2006; 43(2): 319-331

Printed June 1, 2006

Copyright © The Korean Mathematical Society.

On solvability and algorithm of general strongly nonlinear variational-like inequalities

Zeqing Liu, Juhe Sun, Soo Hak Shim, and Shin Min Kang

Liaoning Normal University, Liaoning Normal University, Gyeongsang National University, Gyeongsang National University

Abstract

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In this paper, a new class of general strongly nonlinear variational-like inequalities was introduced and studied. The existence and uniqueness of solutions and a new iterative algorithm for the general strongly nonlinear variational-like inequality are established and suggested, respectively. The convergence criteria of the iterative sequence generated by the iterative algorithm are also given.

Keywords: general strongly nonlinear variational-like inequality, existence and uniqueness, contraction mapping

MSC numbers: 47J20, 49J40

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