Name
Abstract | ||
|---|---|---|
This paper introduces a new class of generalized nonlinear quasi-variational inclusions involving generalized m-accretive mappings in p-uniformly smooth real Banach spaces. By using the resolvent operator technique for generalized m-accretive mappings due to Huang et al. [N.J. Huang, Y.P. Fang, C.X. Deng, Nonlinear variational inclusions involving generalized m-accretive mappings, in: Proceedings of the Bellman Continuum: International Workshop on Uncertain Systems and Soft Computing, Beijing, China, July, 24-27, 2002, pp. 323-327] and Nadler Theorem [S.B. Nadler Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969) 475-488], we construct an iterative algorithm for solving generalized nonlinear quasi-variational inclusions with strongly accretive and relaxed accretive mappings in p-uniformly smooth real Banach spaces. Then we prove the existence of solutions for our inclusions without compactness assumption and convergence of the iterative sequences generated by the algorithm in p-uniformly smooth real Banach spaces. Some special cases are also discussed. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.camwa.2007.11.053 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
n.j. huang,resolvent operator,generalized m -accretive mapping,generalized nonlinear quasi-variational inclusions,nadler jr.,relaxed accretive mapping,generalized nonlinear quasi-variational inclusion,generalized m-accretive mapping,generalized nonlinear quasi-variational,hausdorff metric,p -uniformly smooth real banach spaces,p-uniformly smooth real banach,banach space,strongly accretive mapping,nadler theorem,iterative algorithm,generalized m-accretive,accretive mapping,p,soft computing | Convergence (routing),Mathematical optimization,Nonlinear system,Iterative method,Mathematical analysis,Banach space,Resolvent operator,Compact space,Hausdorff distance,Soft computing,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 5 | Computers and Mathematics with Applications |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Byung-Soo Lee | 1 | 25 | 7.36 |
| M. Firdosh Khan | 2 | 8 | 1.40 |
| Salahuddin | 3 | 15 | 3.28 |