Open AccessSOME NONLINEAR VARIATIONAL INEQUALITIES
Author(s) -
Muhammad Aslam Noor
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.26.1995.4382
Subject(s) - variational inequality , mathematics , class (philosophy) , nonlinear system , variational analysis , inequality , mathematical optimization , calculus (dental) , mathematical analysis , computer science , artificial intelligence , medicine , physics , dentistry , quantum mechanics
In this paper, we introduce and study a new class of variational in- equalities. Using the auxiliary principle technique, we prove the existence of a solution of this class of variational inequalities and suggest a new and novel itera- tive algorithm. Several special cases, which can be obtained from the main results, are also discussed.