On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem

Truong Bao (1) , Michel Théra (2)

1 Northern Michigan University
2 XLIM-DMI - DMI

In this article we establish some fixed point (known also as critical point, invariant point) theorems in quasi-metric spaces. Our results unify and further extend in some regards the fixed point theorem proposed by Dancs et al. (1983), the results given by Khanh and Quy (2010, 2011), the preorder principles established by Qiu (2014), and the results obtained by Bao et al. (2015). In addition, we provide examples to illustrate that the improvements of our results are significant.

Mots clés: 49J52 47J30; 54H25; 90C29; 90C30; Forward Cauchy Sequence; Forward Convergence AMS Subject Classification: 49J53; Ekeland Variational Principle; Fixed Point; Quasi Metric

Domaines: Optimisation et contrôle [math.OC]

Truong Bao, Michel Théra. On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem. 2015. ⟨hal-01183273⟩