Fixed Point Results for Cyclic (α,β)-Admissible Type F-Contractions‎ ‎in Modular Spaces

International Journal of Mathematical Modelling & Computations

مقاله 2، دوره 9، 2 (SPRING) - شماره پیاپی 34، شهریور 2019، صفحه 101-111   

نوع مقاله: Full Length Article

نویسندگان

Müzeyyen Sangurlu Sezen^{* 1}؛ Duran Türkoğlu²

¹Department of Mathematics‎, ‎Giresun‎ ‎University‎, ‎Giresun‎, ‎PO‎. ‎Code 28100‎, ‎Turkey.

²Department of Mathematics‎, ‎Gazi‎ ‎University‎, ‎Ankara‎, ‎PO‎. ‎Code 06500‎, ‎Turkey.

چکیده

In this paper, we prove the existence and uniqueness of fixed points for cyclic (α,β)-admissible type F-contraction and F−weak contraction under the setting of modular spaces, where the modular is convex and satisfying the ∆₂-condition. Later, we prove some periodic point results for self-mappings on a modular space. We also give some examples to support our results.

کلیدواژه‌ها

Modular space؛ Fixed point؛ F-contraction؛ Cyclic (α,β)-admissible mapping