On Fixed Points of Soft Set-Valued Maps

Subject Areas : Fuzzy Optimization and Modeling Journal

Mohammed Shehu Shagari ¹ , Ibrahim Fulatan ² , Yahaya Sirajo ³

1 - Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria
2 - Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Nigeria
3 - School of Arts and Sciences, American University of Nigeria Yola, Adamawa State, Nigeria

Received: 2021-08-20 Accepted : 2021-09-03 Published : 2021-07-01

Keywords: Soft set, fuzzy set, e-soft fixed point, Fuzzy mapping, Soft set-valued map,

Abstract :

Conventional mathematical tools which require all inferences to be exact, are not always sufficient to handle imprecisions in a wide variety of practical fields. Thus, among various developments in fuzzy mathematics, enormous efforts have been in process to produce new fuzzy analogues of the classical fixed point results and their various applications. Following this line in this paper, a new type of set-valued mapping whose range set lies in a family of soft sets is examined. To this effect, we introduce a few fixed point theorems which are generalizations of several significant fixed point results of point-to-point and point-to-set valued mappings in the comparable literature. Some of these particular cases are noted and analyzed. Moreover, nontrivial examples are provided to support the assumptions of our main results.