Fixed Point Theorem for Fuzzy B-type Contractions in Fuzzy Metric Spaces
Keywords:Fuzzy Metric Space, Fixed Point, Complete Metric Space, Fuzzy B-Contraction
Recently, in 2021, Bijender et al. proposed the establishment of -contraction. Such sort of contraction is a genuine generalization of the standard contraction in the study of metric fixed point theory. The aim of the present study is the establishment of the novel concept of the fuzzy B-type contraction in the settings of fuzzy metric space and such contractions are also used to establish a few fixed point theorems.
Zadeh LA: Fuzzy sets, Inform. Control, 8, 338-353(1965).
George A and Veeramani P: On some results in fuzzy metric spaces, Fuzzy Sets and
Systems, 64, 395-399(1994).
George A and Veeramani P: On some results of analysis for fuzzy metric spaces, Fuzzy Sets
and Systems, 90, 365-399(1997).
Kramosil I and Michalek J: Fuzzy metric and statistical metric spaces, Kybernetika, 11(5),
Bijender S and Vizender S: Fixed Point Theorems for New Type of Mappings in Metric
Spacecs and Application, Journal of International Academy of Physical Sciences, 25(1),
Schweizer B and Sklar A: Statistical metric spaces, Pacific Journal of Mathematics, 10,
Grabiec M: Fixed points in fuzzy metric spaces, Fuzzy Sets and Systems, 27(3),
Beg I, Sedghi S and Shobe N: Fixed point theorems in fuzzy metric space, International
Journal of Anaysis, (2013).
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