Some theorems for a new type of multivalued contractivemaps on metric space

Authors

GONCA DURMAZ

DOI

10.3906/mat-1510-75

Abstract

In this paper, taking into account the function $\theta $, we introduce a new type of contraction for multivalued maps on metric space. This new concept includes many known contractions in the literature. We then present some fixed point results for closed and bounded set valued maps on complete metric space. Finally, we provide an example to show the significance of the investigation of this paper.

Keywords

Fixed point, multivalued contraction, generalized multivalued $\theta $-contraction

First Page

1092

Last Page

1100

Recommended Citation

DURMAZ, GONCA (2017) "Some theorems for a new type of multivalued contractivemaps on metric space," Turkish Journal of Mathematics: Vol. 41: No. 4, Article 25. https://doi.org/10.3906/mat-1510-75
Available at: https://journals.tubitak.gov.tr/math/vol41/iss4/25