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

Document Type: Full Length Article

Authors

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

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

Abstract

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.

Keywords