Research Communication | Open Access
Volume 2019 | Communication ID 237
Volume 2019 | Communication ID 237
| Some Generalizations of Kannan's Fixed point Theorem in Complete and Compact Metric Spaces |
Youssef Touail
Received |
Accepted |
Published |
Jan 31, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this work, we establish a new generalizations of Kannan’s fixed point theorem in complete and compact metric spaces under different assumptions like asymptotic regularity, approximate fixed point property and continuity. Further, we give examples to illustrate the main theorems. Key words: Fixed point, compact metric space, complete metric space, asymptotic regularity, approximate fixed point property.