Fixed Point Theorems for Almost Z-Contractions with an Application

Huseyin Isik, Nurcan Bilgili Gungor, Choonkil Park and Sun Young Jang
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Huseyin Isik: Department of Mathematics, Faculty of Science and Arts, Muş Alparslan University, Muş 49250, Turkey
Nurcan Bilgili Gungor: Department of Mathematics, Faculty of Science and Arts, Amasya University, Amasya 05100, Turkey
Choonkil Park: Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea
Sun Young Jang: Department of Mathematics, University of Ulsan, Ulsan 44610, Korea

Mathematics, 2018, vol. 6, issue 3, 1-8

Abstract: In this paper, we investigate the existence and uniqueness of a fixed point of almost contractions via simulation functions in metric spaces. Moreover, some examples and an application to integral equations are given to support availability of the obtained results.

Keywords: fixed point; simulation function; almost contraction; complete metric space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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