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

Subject Areas : International Journal of Mathematical Modelling & Computations

Müzeyyen  Sangurlu Sezen ¹ (Department of Mathematics, Giresun University, Giresun, PO. Code 28100, Turkey.)
Duran  Türkoğlu ² (Department of Mathematics, Gazi University, Ankara, PO. Code 06500, Turkey.)

Received: 2019-02-10 Accepted : 2019-06-10 Published : 2019-06-01

Keywords: fixed point, modular space, <i>F</i>-contraction, Cyclic (<i>α</i>, <i>β</i>)-admissible mapping,

Abstract :

In this paper, we prove the existence and uniqueness of fixed points for cyclic (&alpha;,&beta;)-admissible type F-contraction and F&minus;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.