Name
Title | ||
|---|---|---|
Minimization theorems and fixed point theorems in generating spaces of quasi-metric family |
Abstract | ||
|---|---|---|
By following the approaches of Kada et al. [13], we define a family of weak quasi-metrics in a generating space of quasi-metric family. By using a family of weak quasi-metrics, we prove a Takahashi-type minimization theorem, a generalized Ekeland Variational principle and a general Caristi-type fixed point theorem for set-valued maps in complete generating spaces of quasi-metric family. Also, by following the approach of Aubin [11],we prove another fixed point theorem for set-valued maps in complete generating spaces of quasi-metric family without the assumption of lower semicontinuity. From our results in complete generating spaces of quasi-metric family, we obtain the corresponding theorems for set-valued maps in complete fuzzy metric spaces. (C) 1999 Elsevier Science B.V. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1016/S0165-0114(97)00034-1 | Fuzzy Sets and Systems |
Keywords | DocType | Volume |
membership function,analysis,variational principle,fixed point theorem | Journal | 101 |
Issue | ISSN | Citations |
1 | 0165-0114 | 2 |
PageRank | References | Authors |
0.50 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gue-Myung Lee | 1 | 3 | 0.86 |
| Byung Soo Lee | 2 | 21 | 6.34 |
| Jong Soo Jung | 3 | 19 | 6.15 |
| Shih-sen Chang | 4 | 100 | 23.12 |