Shin Min Kang, Juhe Sun, Zeqing Liu
Department of Mathematics and RINS
Gyeongsang National University
Jinju, 660-701, KOREA
Department of Science
Shenyang Aerospace University
Shenyang, Liaoning 110034, P.R. CHINA
Department of Mathematics
Liaoning Normal University
Dalian, Liaoning 116029, P.R. CHINA

Abstract. In this paper, we introduce and study a new class of nonlinear variational-like inequalities. By using the auxiliary principle technique, we suggest two iterative algorithms, establish the existence of solutions for the nonlinear variational-like inequality and give the convergence criteria of the sequences generated by the iterative algorithms.

Received: June 8, 2011

AMS Subject Classification: 47J20, 49J40

Key Words and Phrases: nonlinear variational-like inequality, auxiliary principle technique, algorithm, convergence

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