Fixed points of soft-set valued and fuzzy set-valued maps with applications

Article type: Research Article

Authors: Mohammed, Shehu Shagari^{; *} | Azam, Akbar

Affiliations: Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad, Pakistan

Correspondence: [*] Corresponding author. Shehu Shagari Mohammed, Department of Mathematics, COMSATS University, Chak Shahzad, Islamabad, Pakistan. E-mail: ssmohammed@abu.edu.ng.

Abstract:  In this paper, the notion of soft set-valued mappings and E-soft fixed points are introduced. These ideas are used to establish some analogues of classical fixed point theorems in the literature. Some Examples are given to support the hypotheses of the theorems. A few graphical and tabular illustrations are also provided so as to visualize the novel concepts pictorially. Moreover, as an application of one of the presented results, an existence condition for a solution of nonlinear discrete-type delay differential equation is provided.

Keywords: soft set, soft set-valued mapping, E-soft fixed point, delay differential equation 2010 Mathematics Subject Classification: 46S40, 47H10, 54H25.

DOI: 10.3233/JIFS-190126

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 3865-3877, 2019