Open Access

# On the $F$-contraction properties of multivalued integral type transformations

### Abstract

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under $F$-contraction. In addition, the results of this study were evaluated with some interesting example.

Key words: F-contraction, multivalued mapping, Hausdorff metric.

### Article Information

 Title On the $F$-contraction properties of multivalued integral type transformations Source Methods Funct. Anal. Topology, Vol. 25 (2019), no. 3, 282-288 MathSciNet MR4016214 Milestones Received 23/08/201 Copyright The Author(s) 2019 (CC BY-SA)

### Authors Information

Derya Sekman
Department of Mathematics, Faculty of Arts and Sciences, Ahi Evran University, 40100 Kırşehir, Turke

Vatan Karakaya
Department of Mathematical Engineering, Faculty of Chemistry-Metallurgical, Yıldız Technical University, 34210 Istanbul, Turke

### Citation Example

Derya Sekman and Vatan Karakaya, On the $F$-contraction properties of multivalued integral type transformations, Methods Funct. Anal. Topology 25 (2019), no. 3, 282-288.

### BibTex

@article {MFAT1212,
AUTHOR = {Derya Sekman and Vatan Karakaya},
TITLE = {On the $F$-contraction properties of multivalued integral
type transformations},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {25},
YEAR = {2019},
NUMBER = {3},
PAGES = {282-288},
ISSN = {1029-3531},
MRNUMBER = {MR4016214},
URL = {http://mfat.imath.kiev.ua/article/?id=1212},
}

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