The fixed point theorems of 1-set-contractive operators in Banach space
oleh: Wang Shuang
| Format: | Article |
|---|---|
| Diterbitkan: | SpringerOpen 2011-01-01 |
Deskripsi
<p>Abstract</p> <p>In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation <it>Ax </it>= <it>μx </it>using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different from the corresponding ones announced by many others.</p> <p> <b>MSC: 47H09, 47H10</b> </p>