Author:
AJETI LAURA, ,ZLATANOV BOYAN,
Abstract
Sufficient conditions have been obtained for the existence and uniqueness of coupled fixed points for Hardy-Rodgers maps with the mixed monotone property in partially ordered metric spaces using a variational technique. The obtained result generalizes and enriches already known results for other types of maps with mixed monotone property. It is shown that in partially ordered metric spaces the maps of Hardy-Rodgers and Reich with mixed monotonic properties do not coincide.
Publisher
Konstantin Preslavsky University Press
Reference42 articles.
1. [1] Banach, S. Sur les opérations dan les ensembles abstraits et leurs applications aux integrales, Fund. Math. 3,
2. 133-181 (1922).
3. [2] Berinde, V. Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric
4. spaces. Nonlinear Anal. 74(18), 7347-7355 (2011).
5. [3] Bhaskar, T.G., Lakshmikantham, V. Fixed point theorems in partially ordered metric spaces and applications.