Convergence properties on C* -algebra valued fuzzy soft metric spaces and related fixed point theorems

Ravi P. Agarwal 1 G.N.V.Kishore 2 * and B. Srinuvasa Rao 3

doi:10.26637/MJM0602/0002

**Convergence properties on C* -algebra valued fuzzy soft metric spaces and related fixed point theorems**

Authors :

Ravi P. Agarwal ¹G.N.V.Kishore^{2 *} and B. Srinuvasa Rao³

Author Address :

¹ Department of Mathematics, Texas A and M University-Kingsville, 700 University Blvd., MSC 172, Kingsville, Texas 78363-8202.
² Department of Mathematics, K L University, Vaddeswaram, Guntur - 522 502, Andhra Pradesh, India.
³Research Schalor, Department of Mathematics, K L University, Vaddeswaram, Guntur - 522 502, Andhra Pradesh, India.

*Corresponding author.

Abstract :

In this article we introduce the notion of $C^{ast}$ - algebra valued fuzzy soft metric space and we prove convergence properties and some related fixed point results. We also give supported examples to our results.

Keywords :

$C^*$-algebra, Fuzzy soft points, $C^*$-algebra-valued Fuzzy soft metric, contractive mappings, Fixed point theorems.

DOI :

10.26637/MJM0602/0002

Article Info :

Received : November 24, 2017; Accepted : March 09, 2018.