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On Coupled Best Proximity Points in Reflexive Banach Spaces.
- Source :
- Mathematics (2227-7390); Apr2022, Vol. 10 Issue 8, pN.PAG-N.PAG, 19p
- Publication Year :
- 2022
-
Abstract
- We investigated the existence and uniqueness of coupled best proximity points for some cyclic and semi-cyclic maps in a reflexive Banach space. We found sufficient conditions, ensuring the existence of coupled best proximity points in reflexive Banach spaces and some convexity types of conditions, ensuring uniqueness of the coupled best proximity points in strictly convex Banach spaces. We illustrate the results with examples and we present an application of one of the theorems in the modeling of duopoly markets, to have an existence of market equilibrium. We show that, in general, the iterative sequences can have chaotic behavior. [ABSTRACT FROM AUTHOR]
- Subjects :
- BANACH spaces
MARKET equilibrium
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 156599476
- Full Text :
- https://doi.org/10.3390/math10081304