Back to Search
Start Over
On nonlinear fuzzy set-valued Θ-contractions with applications
- Source :
- AIMS Mathematics, Vol 6, Iss 10, Pp 10431-10488 (2021)
- Publication Year :
- 2021
- Publisher :
- AIMS Press, 2021.
-
Abstract
- Among various improvements in fuzzy set theory, a progressive development has been in process to investigate fuzzy analogues of fixed point theorems of the classical fixed point results. In this direction, taking the ideas of $ \theta $-contractions as well as Feng-Liu's approach into account, some new fuzzy fixed point results for nonlinear fuzzy set-valued $ \theta $-contractions in the framework of metric-like spaces are introduced in this paper without using the usual Pompeiu-Hausorff distance function. Our established concepts complement, unify and generalize a few important fuzzy and classical fixed point theorems in the corresponding literature. A handful of these special cases of our notions are pointed and analyzed. Some of the main results herein are further applied to derive their analogues in metric-like spaces endowed with partial ordering and binary relations. Comparisons and nontrivial examples are given to authenticate the hypotheses and significance of the obtained ideas.
- Subjects :
- Pure mathematics
fuzzy set
Binary relation
General Mathematics
010102 general mathematics
Fuzzy set
fuzzy set-valued map
multivalued mapping
Fixed-point theorem
02 engineering and technology
Fixed point
01 natural sciences
Fuzzy logic
Nonlinear system
fixed point
metric-like space
0202 electrical engineering, electronic engineering, information engineering
QA1-939
020201 artificial intelligence & image processing
0101 mathematics
Partially ordered set
Mathematics
Complement (set theory)
θ-contraction
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 6
- Issue :
- 10
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....3bc51872dfb29e038f58e495ead113ca