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http://dx.doi.org/10.4134/BKMS.2006.43.2.319

ON SOLVABILITY AND ALGORITHM OF GENERAL STRONGLY NONLINEAR VARIATIONAL-LIKE INEQUALITIES  

Liu Zeqing (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY)
Sun, Juhe (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY)
Shim, Soo-Hak (DEPARTMENT OF MATHEMATICS AND RESEARCH INSTITUTE OF NATURAL SCIENCE, GYEONGSANG NATIONAL UNIVERSITY)
Kang, Shin-Min (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 319-331 More about this Journal
Abstract
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; contracton mapping;
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