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This two-volume work presents a comprehensive treatment of the finite dimensional variational inequality and complementarity problem, covering the basic theory, iterative algorithms, and important applications. The authors provide a broad coverage of the finite dimensional variational inequality and complementarity problem beginning with the fundamental questions of existence and uniqueness of solutions, presenting the latest algorithms and results, extending into selected neighboring topics, summarizing many classical source problems, and suggesting novel application domains. This second volume contains mostly algorithms for solving finite dimensional variational inequalities and complementarity problems. Extensive notes and comments and bibliographical material is provided at the end of the book. This book will appeal to mathematicians, economists, and engineers working in the field.