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A new system of nonlinear variational inequalities with relaxed cocoercive mappings in reflexive Banach spaces
Authors:PAN Xian-bing  QIN Chun-rong and PENG Jian-wen
Institution:College of Mobile Telecommunications, Chongqing University of Posts and Telecom, Chongqing 401520, P. R. China;Service Management Institute, Business School, Sichuan University, Chongqing 610064, P. R. China;College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047, P. R. China
Abstract:A new system for relaxed cocoercive non-linear variational inequalities in uniformly smooth Banach spaces is introduced and studied using the convergence of projection methods. Our results generalize and improve the corresponding results of recent works.
Keywords:nonlinear variational inequality  relaxed cocoercive mapping  projection method  convergence of projection method
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