SUMA Publishing Group
Results in Fixed Point Theory and Applications
2581-6047
2018
2018
November
15
A Fixed point Theorem Satisfying Integral Type Contraction in Fuzzy Metric Space
1
08
EN
Sharafat
Hussain
Department of Mathematics,
Quaid-i-Azam University ,
Islamabad, Pakistan. \newline
Department of Mathematics,
Women University of Azad Jammu and Kashmir ,
Bagh, AJK.
sharafat@math.qau.edu.pk
https://doi.org/10.30697/rfpta-2018-013
In this paper we analyze the existence of fixed points for mappings defined
on a complete fuzzy metric space satisfying a contractive condition of integral type. Our main result generalize the fuzzy Banach contraction theorem of V. Gregori and A. Sapena [V. Gregori and A. Sapena, On fixed-point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 125(2) (2002) $245-252$]
Fuzzy metric space ; Integral type contraction ; Fuzzy Banach contraction.
http://www.researchinthefixedpointtheory.com/2018/11/15/936/
http://www.researchinthefixedpointtheory.com/wp-content/uploads/2018/11/RFPTA-2018-013.pdf