‎Fixed point results for increasing mapping and the relationship between ‎(‎relative) algebraic interior and topological interior

Authors

  • Ardeshir karamian University of Sistan and Baluchestan, Zahedan, Iran
  • Rahmatollah Lashkaripour University of Sistan and Baluchestan, Zahedan, Iran

DOI:

https://doi.org/10.30495/jme.v12i1.614

Keywords:

fixed point, nonlinear scalarization mapping, algebraic interior, relative algebraic interior‎.

Abstract

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 presente ‎some ‎properties ‎of ‎(‎relative)‎ algebraic ‎interior ‎and‎ ‎some fixed point theorems for increasing mapping‎. ‎The results obtained can be viewed as an extension and improvement of ‎the known corresponding results‎‎. ‎Some examples are provided here to support our conclusions‎.

Author Biographies

Ardeshir karamian, University of Sistan and Baluchestan, Zahedan, Iran

Ardeshir Karamian is a PhD student at sistan and Baluchestan, zahedan, Iran. He received his B.S. degree in Mathematics from Razi University. Iran, in 2008 and his M.S. degree in pure Mathematics from the Department of Mathematics at Iran University of Razi in 2011. His research interests focus on fixed point theory and variational inequalities and applications in nonlinear functional analysis.

Rahmatollah Lashkaripour, University of Sistan and Baluchestan, Zahedan, Iran

Department of Mathematics, Faculty of Mathematics

Professor of Mathematics

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Published

2017-12-24

Issue

Vol. 12

Section

Vol. 12, No. 1, (2018)

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