Coincidence points of mappings in vector metric spaces with applications to differential equations and control systems

2017 ◽  
Vol 53 (11) ◽  
pp. 1440-1448 ◽  
Author(s):  
A. V. Arutyunov ◽  
S. E. Zhukovskiy
Keyword(s):  
Differential Equations ◽  
Control Systems ◽  
Metric Spaces ◽  
Coincidence Points ◽  
And Control

scholarly journals A New Approach to Fuzzy Differential Equations Using Weakly-Compatible Self-Mappings in Fuzzy Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Iqra Shamas ◽  
Saif Ur Rehman ◽  
Naeem Jan ◽  
Abdu Gumaei ◽  
Mabrook Al-Rakhami
Keyword(s):  
Differential Equations ◽  
Metric Spaces ◽  
Vital Role ◽  
Coincidence Points ◽  
New Approach ◽  
Fuzzy Metric ◽  
Weakly Compatible ◽  
Research Article ◽  
Different Types ◽  
Rational Type

The key objective of this research article includes the study of some rational type coincidence point and deriving common fixed point (CFP) results for rational type weakly-compatible three self-mappings in fuzzy metric (FM) space. The “triangular property of FM” is used as a fundamental tool. Moreover, some unique coincidence points and CFP theorems were presented for three self-mappings in an FM space under the conditions of rational type weakly-compatible fuzzy-contraction. In addition, some suitable examples are also given. Furthermore, an application of fuzzy differential equations is provided in the aid of the proposed work. Hence, the innovative direction of rational type weakly-compatible fuzzy-contraction with the application of fuzzy differential equations in FM space will certainly play a vital role in the related fields. It has the potential to be extended in any direction with different types of weakly-compatible fuzzy-contraction conditions for self-mappings with different types of differential equations.

Differential equations and control systems

2021 ◽  
pp. 57-90
Author(s):  
Vladimir A. Bushenkov ◽  
Georgi V. Smirnov
Keyword(s):  
Differential Equations ◽  
Control Systems ◽  
And Control
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