| dc.contributor.author | Afghani, Obaidah Mohammad. | en_US |
| dc.date.accessioned | 2014-10-21T12:37:27Z | |
| dc.date.available | 1998 | |
| dc.date.issued | 1998 | en_US |
| dc.identifier.other | AAINQ36548 | en_US |
| dc.identifier.uri | http://hdl.handle.net/10222/55558 | |
| dc.description | This thesis is devoted to the study of G-convex spaces. | en_US |
| dc.description | In Chapter 1, we introduce the new concepts of M-convex spaces and M-convexity. We present a KKM-type theorem, and two fixed point theorems which illustrate the significance of these concepts. We also define a G-convex structure on the product of a family of G-convex spaces. | en_US |
| dc.description | In Chapter 2, we prove that any complete metric space with a continuous midpoint function is a G-convex space. | en_US |
| dc.description | In Chapter 3, we prove several Dugundji-type extension theorems in G-convex spaces. Both cases of single and set-valued maps are considered. Important applications to the theory of games are obtained from these extension theorems. | en_US |
| dc.description | In Chapter 4, we define M-convexity and M-concavity for real functions on an M-convex space. A continuous dual is also defined and we give solutions for some variational inequalities. | en_US |
| dc.description | In Chapter 5, we define classes of GLS and GLS -majorized correspondences. We obtain some maximal element theorems for these correspondences and apply them to generalized games and minimax inequalities. | en_US |
| dc.description | Thesis (Ph.D.)--Dalhousie University (Canada), 1998. | en_US |
| dc.language | fre | en_US |
| dc.publisher | Dalhousie University | en_US |
| dc.publisher | | en_US |
| dc.subject | Mathematics. | en_US |
| dc.title | M-convexity, extension and equilibrium existence theorems in G-convex spaces. | en_US |
| dc.type | text | en_US |
| dc.contributor.degree | Ph.D. | en_US |
