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Fixed point theorems in complex valued fuzzy b-metric spaces with application to integral equations
- Source :
- Miskolc Mathematical Notes. 22:153
- Publication Year :
- 2021
- Publisher :
- Mathematical Notes, 2021.
-
Abstract
- In this paper, firstly, we introduce the concept of a complex valued fuzzy b-metric space, which is inspired by the work of Shukla et al. [24]. Also, we investigate some of its topological properties which strengthen this concept. Next, we establish some fixed point theorems in the context of complex valued fuzzy b-metric spaces and give suitable examples to illustrate the usability of the obtained main results. These results extend and generalize the corresponding results given in the existing literature. Moreover, we provide some applications on the existence and uniqueness of solutions for a certain type of nonlinear integral equations. WOS:000661139500013 2-s2.0-85108514440
- Subjects :
- fuzzy set
Numerical Analysis
Pure mathematics
Control and Optimization
Algebra and Number Theory
Fixed-point theorem
Complex valued
Integral equation
Fuzzy logic
Metric space
fixed point
Contractive Mappings
complex valued t-norm
Discrete Mathematics and Combinatorics
complex valued fuzzy b-metric space
Analysis
Mathematics
Subjects
Details
- ISSN :
- 17872413 and 17872405
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- Miskolc Mathematical Notes
- Accession number :
- edsair.doi.dedup.....a75e3826282b0c47b4ce71349a780325