| dc.contributor.author | Yuan, Xian-Zhi. | en_US |
| dc.date.accessioned | 2014-10-21T12:36:13Z | |
| dc.date.available | 1994 | |
| dc.date.issued | 1994 | en_US |
| dc.identifier.other | AAINN93804 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10222/55423 | |
| dc.description | In this thesis, we present interconnections among the Knaster-Kuratowski-Mazurkiewicz theorem (in short, KKM theorem), Ky Fan minimax inequalities, fixed point theorems, coincidence theorems, equilibria of generalized games and variational inequalities. | en_US |
| dc.description | In Chapter 2, we obtain generalizations of the KKM theorem in topological spaces from which a characterization of a generalized HKKM mapping is proved. As applications, generalizations of Ky Fan minimax inequalities, coincidence and fixed point theorems for multivalued mappings are derived in H-spaces, topological vector spaces or in locally convex topological vector spaces. | en_US |
| dc.description | In Chapter 3, using results from Chapter 2 and combining "approximate method" we show existence theorems for equilibria of generalized games in H-spaces, topological vector spaces, locally convex spaces, Frechet spaces or in finite dimensional spaces under various continuous and non-compact hypotheses. In particular, the question raised by Yannelis and Prabhakar in 1983 is answered under weaker hypotheses. | en_US |
| dc.description | In Chapter 4, by applying the existence theorems from Chapter 3, we achieve several existence theorems for non-compact variational inequalities and non-compact generalized quasi-variational inequalities in locally convex spaces and in reflexive Banach spaces. These results in turn imply some new existence theorems for generalized complementarity problems and fixed point theorems for multivalued pseudo and nonexpansive mappings in Hilbert spaces. | en_US |
| dc.description | Furthermore, the stability of Ky Fan points, of coincidence points and of solutions of generalized quasi-variational inequalities are also established. | en_US |
| dc.description | Thesis (Ph.D.)--Dalhousie University (Canada), 1994. | en_US |
| dc.language | eng | en_US |
| dc.publisher | Dalhousie University | en_US |
| dc.publisher | | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | Contributions to nonlinear analysis. | en_US |
| dc.type | text | en_US |
| dc.contributor.degree | Ph.D. | en_US |
