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Ample Spectrum Contractions and Related Fixed Point Theorems.
- Source :
-
Mathematics (2227-7390) . Nov2019, Vol. 7 Issue 11, p1033-1033. 1p. - Publication Year :
- 2019
-
Abstract
- Simulation functions were introduced by Khojasteh et al. as a method to extend several classes of fixed point theorems by a simple condition. After that, many researchers have amplified the knowledge of such kind of contractions in several ways. R-functions, (R , S) -contractions and (A , S) -contractions can be considered as approaches in this direction. A common characteristic of the previous kind of contractive maps is the fact that they are defined by a strict inequality. In this manuscript, we show the advantages of replacing such inequality with a weaker one, involving a family of more general auxiliary functions. As a consequence of our study, we show that not only the above-commented contractions are particular cases, but also another classes of contractive maps correspond to this new point of view. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATHEMATICAL equivalence
*MANUSCRIPTS
*CONTRACTIONS (Topology)
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 7
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 139938278
- Full Text :
- https://doi.org/10.3390/math7111033