Auxiliary Principle and Iterative Algorithms for Generalized Set-Valued Strongly Nonlinear Mixed Variational-like Inequalities
✍ Scribed by Nan-jing Huang; Chuan-xian Deng
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 100 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In this paper, we extend the auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities. We prove the existence of a solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities, construct the iterative algorithm for the generalized set-valued strongly nonlinear mixed variational-like inequalities, and show the existence of a solution of the generalized set-valued strongly nonlinear mixed variational-like inequality by using the auxiliary principle technique. We also prove the convergence of iterative sequences generated by the algorithm.