1. INTERPOLATIVE FUZZY Z-CONTRACTION WITH ITS APPLICATION TO FREDHOLM NON-LINEAR INTEGRAL EQUATION.
- Author
-
JAIN, SHOBHA and RADENOVIĆ, S.
- Subjects
NONLINEAR integral equations ,MATHEMATICAL mappings ,METRIC spaces ,CONTRACTIONS (Topology) - Abstract
The aim of this paper is to introduce the notion of interpolative fuzzy Z-contractive condition for a pair of self maps in a fuzzy metric space, which enlarges, unifies and generalizes the existing fuzzy contractions (by Gregori et al. [6]), contraction (by Mihet [11]), fuzzy Z-contractions (by Shukla et al. ([19]) and Tirado contraction (by Tirado [20]), which are for only one self map. Using this, we establish a unique common fixed point theorem for two self maps satisfying condition (S), which was introduced by Shukla et al. in [19] through weak compatibility. As an applications, we discuss fixed point theorem for Fredholm non-linear integral equation. The article also includes an example, which shows the validity of our results. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF