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In addition, we suggest a Newton-type algorithm for solving the smooth equations so that a solution of the problem concerned is found. In particular, the algorithm is proved to be globally and locally quadratically convergent under suitable conditions. The preliminary numerical results demonstrate that the algorithm is effective. <\/jats:p>","DOI":"10.1142\/s0217595922500178","type":"journal-article","created":{"date-parts":[[2022,4,19]],"date-time":"2022-04-19T15:05:53Z","timestamp":1650380753000},"source":"Crossref","is-referenced-by-count":0,"title":["A Nonmonotone Smoothing-Type Algorithm for a System of Inequalities Associated with Circular Cones"],"prefix":"10.1142","volume":"40","author":[{"given":"He","family":"Huang","sequence":"first","affiliation":[{"name":"College of Management and Economics, Tianjin University, No. 92, Weijin Road, Tianjin 300072, P. R. 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