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

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KARAMIAN A.; LASHKARIPOUR R.

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Journal Paper

Paper Information

Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2018 | Volume:12 | Issue:1 Page(s): 55-68

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Title

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

Author(s)

KARAMIAN A. | LASHKARIPOUR R. | Issue Writer Certificate

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 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.

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APA: Copy

KARAMIAN, A., & LASHKARIPOUR, R.. (2018). Fixed Point Results for Increasing Mapping and the Relationship Between (Relative) Algebraic Interior and Topological Interior. JOURNAL OF MATHEMATICAL EXTENSION, 12(1), 55-68. SID. https://sid.ir/paper/724735/en

Vancouver: Copy

KARAMIAN A., LASHKARIPOUR R.. Fixed Point Results for Increasing Mapping and the Relationship Between (Relative) Algebraic Interior and Topological Interior. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2018;12(1):55-68. Available from: https://sid.ir/paper/724735/en

IEEE: Copy

A. KARAMIAN, and R. LASHKARIPOUR, “Fixed Point Results for Increasing Mapping and the Relationship Between (Relative) Algebraic Interior and Topological Interior,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 12, no. 1, pp. 55–68, 2018, [Online]. Available: https://sid.ir/paper/724735/en

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