Projection methods, algorithms, and a new system of nonlinear variational inequalities

By Ram U. Verma. 2001

178 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7ddbcc33a579dfa963d20aa6ae65a1c73501fbde

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In Computational Theory and Mathematics

1. Yeol Je Cho
2. J. H. Kim
3. Heng-you Lan
4. Muhammad Aslam Noor
5. Khalida Inayat Noor

In Numerical Analysis

1. Yeol Je Cho

Citations in the corpus

• On a new system of nonlinear A-monotone multivalued variational inclusions ✩ (2007, background): “In 2001, Verma [13] introduced and studied some systems of variational inequalities and developed some iterative algorithms for approximating the solutions of system of variational inequalities.”
• Generalized System for Relaxed Cocoercive Variational Inequalities and Projection Methods (2004, methodology): “The SNVI problem (1)–(2) is equivalent to the following system of nonlinear complementarities (SNC): find the elements x*, y* ̨K such that T(y*, x*) ̨K*,T(x*, y*) ̨K* and ÆrT( y*, x*) + x* – y*, x*æ = 0, r>0, (4) ÆhT(x*, y*)+ y* – x*, y*æ= 0, h>0, (5) where K* is a polar cone to K defined by K* = { ”