[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2017.323

FIXED POINT OF α - ψ - CONTRACTIVE MULTIFUNCTION IN FUZZY METRIC SPACES

KUMAR, MOHIT (Department of Mathematics and Statistics, Gurukula Kangri Vishwavidyalaya Haridwar(UK))
ARORA, RIITU (Department of Mathematics and Statistics, Gurukula Kangri Vishwavidyalaya Haridwar(UK))

Publication Information

Journal of applied mathematics & informatics / v.35, no.3_4, 2017 , pp. 323-330 More about this Journal

Abstract

Recently Samet, Vetro and Vetro introduced the notion of ${\alpha}$ - ${\Psi}$ -contractive type mappings and initiated some fixed point theorems in complete metric spaces. The notion of ${\alpha}_*$ - ${\Psi}$ -contractive multifunctions and initiated some fixed point results by Hasanzade Asl et. al. [8]. In this paper, we introduced the notion of ${\alpha}_*$ - ${\Psi}$ -contractive multifunctions in a fuzzy metric space and gave fixed point results for these multifunctions in complete fuzzy metric spaces. We also obtain a fixed point results for self-maps in complete fuzzy metric spaces satisfying contractive condition.

Keywords

${\alpha}_*$ - ${\Psi}$ -contractive multifunction; fixed point; Hausdorff fuzzy metric; ${\alpha}$ -admissible;

Citations & Related Records

Reference

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