Name
Abstract | ||
|---|---|---|
The purpose of this paper is to study a new class of fuzzy nonlinear set-valued variational inclusions in real Banach spaces. By using the fuzzy resolvent operator techniques for m-accretive mappings, we establish the equivalence between fuzzy nonlinear set-valued variational inclusions and fuzzy resolvent operator equation problem. Applying this equivalence and Nadler's theorem, we suggest some iterative algorithms for solving fuzzy nonlinear set-valued variational inclusions in real Banach spaces. By using the inequality of Petryshyn, the existence of solutions for these kinds of fuzzy nonlinear set-valued variational inclusions without compactness is proved and convergence criteria of iterative sequences generated by the algorithm are also discussed. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2010.07.007 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
fuzzy nonlinear set-valued variational inclusions,m-accretive mapping,fuzzy nonlinear,new class,hausdorff metric,nadler’s theorem,real banach space,fuzzy resolvent operator equation,convergence criterion,fuzzy resolvent operator technique,iterative algorithm,variational inclusion,fuzzy resolvent operator equation problem,iterative sequence,closed fuzzy mapping,banach space | Convergence (routing),Mathematical optimization,Nonlinear system,Mathematical analysis,Fuzzy logic,Banach space,Compact space,Equivalence (measure theory),Fuzzy subalgebra,Hausdorff distance,Mathematics | Journal |
Volume | Issue | ISSN |
60 | 6 | Computers and Mathematics with Applications |
Citations | PageRank | References |
2 | 0.39 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Byung Soo Lee | 1 | 21 | 6.34 |
| M. Firdosh Khan | 2 | 8 | 1.40 |
| Salahuddin | 3 | 15 | 3.28 |