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Paper Information

Journal:   JOURNAL OF MATHEMATICAL EXTENSION   2018 , Volume 12 , Number 1; Page(s) 55 To 68.

Fixed Point Results for Increasing Mapping and the Relationship Between (Relative) Algebraic Interior and Topological Interior

Author(s):  KARAMIAN A.*, Lashkaripour r.
* Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
In this paper, we show that the relative algebraic interior is a suitable replacement for both of the topological interior and the algebraic interior for the cases where these are empty. Also, we present some properties of (relative) algebraic interior and some fixed point theorems for increasing mapping. The obtained results can be viewed as an extension and improvement of the known corresponding results. Also, some examples are to support our conclusions considered.
Keyword(s): Fixed point,nonlinear scalarization mapping,algebraic interior,relative algebraic interior
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