In this paper, we study a class of generalized quasivariational inclusions. By using the properties of the resolvent operator associated with a maximal monotone mapping in Hilbert space, we have established an existence theorem of solutions for generalized quasivariational inclusions, suggesting a n
On convergence criteria of generalized proximal point algorithms
โ Scribed by Yonghong Yao; Muhammad Aslam Noor
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 163 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0377-0427
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๐ SIMILAR VOLUMES
In this paper we introduce general iterative methods for finding zeros of a maximal monotone operator in a Hilbert space which unify two previously studied iterative methods: relaxed proximal point algorithm [H.K. Xu, Iterative algorithms for nonlinear operators, J. London Math Soc. 66 (2002) 240-25
This paper illustrates that the conditions and the main proof of two main theorems of Verma [R.U. Verma, The over-relaxed proximal point algorithm based on H-maximal monotonicity design and applications, Computers and Mathematics with Applications 55 (2008) 2673-2679] concerning the strong convergen