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

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  • Müzeyyen Sangurlu Sezen*1,
  • Duran Türkoğlu2,
  1. Department of Mathematics, Giresun University, Giresun, PO. Code 28100, Turkey.
  2. Department of Mathematics, Gazi University, Ankara, PO. Code 06500, Turkey.

Revised: 10-02-2019

Accepted: 10-06-2019

Published in Issue 01-06-2019

How to Cite

Sangurlu Sezen, M., & Türkoğlu, D. (2019). Fixed Point Results for Cyclic (α,β)-Admissible Type F-Contractions‎ ‎in Modular Spaces. International Journal of Mathematical Modelling & Computations, 9(2), 101-111. http://oiccpress.com/ijm2c/article/view/11316

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.
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