2015/08/08 by Truong Q. Bao, Michel Théra, Bao, Truong +1
Computer Science · Mathematics · #FOS: Mathematics #Fixed Point Theorems Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis
paper · doi:10.48550/arxiv.1508.01925
openalex publication_date 2015/08/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.