Open AccessGeneralized contraction theorems approach to fuzzy differential equations in fuzzy metric spaces
Author(s) -
Iqra Shamas,
Saif Ur Rehman,
Thabet Abdeljawad,
Mariyam Sattar,
Sami Ullah Khan,
Nabil Mlaiki
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022628
Subject(s) - mathematics , contraction (grammar) , fuzzy logic , metric space , fixed point theorem , contraction mapping , pure mathematics , mathematical analysis , discrete mathematics , computer science , artificial intelligence , medicine
Fixed point theory is one of the most interesting areas of research in mathematics. In this direction, we study some unique common fixed point results for a pair of self-mappings without continuity on fuzzy metric spaces under the generalized contraction conditions by using "the triangular property of fuzzy metric". Moreover, we present weak-contraction and generalized Ćirić-contraction theorems. The results are supported by suitable examples. Further, we establish a supportable application of the fuzzy differential equations to ensure the existence of a unique common solution to validate our main work.