|
|
 |
| |
|
|
|
Common Fixed Points of Kannan Type Fuzzy Mappings on closed balls |
|
|
|
PP: 7-10 |
|
|
|
Author(s) |
|
|
|
Akbar Azam,
Saqib Hussain,
Muhammad Arshad,
|
|
|
|
Abstract |
|
|
| We establish some common fixed point theorems for Kannan fuzzy mappings on closed balls in a complete metric space.
Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theorem of multivalued
mappings with closed values. In real world problems there are various mathematical models in which the mappings are contractive on
the subset of a space under consideration but not on the whole space itself. It seems that this technique of finding the fuzzy fixed points
was ignored. Recently Azam et. al. [A. Azam, S. Hussain and M. Arshad, Common Fixed points of Chatterjea Type Fuzzy Mappings on
closed balls, Neural Computing & Applications, DOI 10. 1007/s00521-012-0907-4] published a fixed points result for Chatterjea fuzzy
locally contractive mappings on closed ball and our present work will supplement it. Our results generalize/improve several results of
literature. |
|
|
|
|
|
|
|
