Mohammed Shehu Shagari, Akbar Azam, “Fixed point theorems of fuzzy set-valued maps with applications”, Probl. Anal. Issues Anal., 2020, Volume 9(27), Issue 2,Pages <nobr>68

This article is cited in 6 papers

Fixed point theorems of fuzzy set-valued maps with applications

Mohammed Shehu Shagari^ab, Akbar Azam^a

^a Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad, 44000, Pakistan
^b Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria

Abstract: In this paper, we introduce the notion of Suzuki-type $(\alpha, \beta)$-weak contractions in the setting of fuzzy set-valued maps, thereby establishing some fuzzy fixed point theorems. Moreover, one of our theorems is applied to study a homotopy result.

Keywords: fuzzy set, fuzzy set-valued mapping, fixed point, weak contraction.

UDC: 517.98

MSC: 46S40, 47H10, 54H25, 34A12

Received: 19.07.2019
Revised: 16.02.2020
Accepted: 19.02.2020

Language: English

DOI: 10.15393/j3.art.2020.6750