Generalized contraction theorems approach to fuzzy differential equations in fuzzy metric spaces-Reference-Cited by-同舟云学术

Generalized contraction theorems approach to fuzzy differential equations in fuzzy metric spaces

Published:2022 Issue:6 Volume:7 Page:11243-11275
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shamas Iqra¹,Rehman Saif Ur¹,Abdeljawad Thabet²³,Sattar Mariyam⁴,Khan Sami Ullah¹,Mlaiki Nabil²

Affiliation:

1. Institute of Numerical Sciences, Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Department of Mechanical Engineering, Institute of Space Technology, P. O. Box 2750, Islamabad, Pakistan

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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