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Fixed point theorems in homotopically trivial spaces |
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| Authors: | Mircea Balaj |
| Institution: | Department of Mathematics , University of Oradea , 3700, Oradea, Romania |
| Abstract: | We introduce a new concept of generalized Knaster–Kuratowski–Mazurkiewicz (KKM) family of sets and related to this we obtain fixed point theorems and sections results in homotopically trivial spaces. |
| Keywords: | Homotopically trivial space Map Fixed point Generalized KKM family 2000 Mathematics Subject Classification: 47H10 54C60 54H25 |