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- Title
Coupled fixed point results for new classes of functions on ordered vector metric space.
- Authors
Çevik, C.; Özeken, Ç. C.
- Abstract
The contraction condition in the Banach contraction principle forces a function to be continuous. Many authors overcome this obligation and weaken the hypotheses via metric spaces endowed with a partial order. In this paper, we present some coupled fixed point theorems for the functions having mixed monotone properties on ordered vector metric spaces, which are more general spaces than partially ordered metric spaces. We also define the double monotone property and investigate the previous results with this property. In the last section, we prove the uniqueness of a coupled fixed point for non-monotone functions. In addition, we present some illustrative examples to emphasize that our results are more general than the ones in the literature.
- Subjects
VECTOR spaces; METRIC spaces; VECTOR valued functions; FIXED point theory; RIESZ spaces; CONTINUOUS functions
- Publication
Acta Mathematica Hungarica, 2024, Vol 172, Issue 1, p1
- ISSN
0236-5294
- Publication type
Article
- DOI
10.1007/s10474-024-01393-3