Filters

2013 - 20142
Reset filters

Settings

Author: Sintunavarat, WutipholSubject: binary relation

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    Citation - WoS: 22
    Citation - Scopus: 29
    Fixed point results for generalized (α, ψ)-Meir-Keeler contractive mappings and applications
    (Springeropen, 2014) Latif, Abdul; Gordji, Madjid Eshaghi; Karapinar, Erdal; Sintunavarat, Wutiphol
    In this paper, we introduce a new type of a generalized-(alpha, psi)-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible mappings. Applying our results, we derive fixed point theorems in ordinary metric spaces and metric spaces endowed with an arbitrary binary relation.
  • Thumbnail Image
    Article
    Citation - WoS: 13
    Citation - Scopus: 14
    The Existence of Optimal Approximate Solution Theorems for Generalized Α-Proximal Contraction Non-Self Mappings and Applications
    (Springer international Publishing Ag, 2013) Karapinar, Erdal; Sintunavarat, Wutiphol
    In this paper, we investigate the sufficient conditions to find a best proximity point for a certain class of non-self mappings. It is well known that optimization problems can be transformed to the problems of the existence of a best proximity point. Hence, improvement in the best proximity point theory implicitly develops the theory of optimization. Our presented results generalize, extent and improve various well-known results on the topic in the literature. In particular, we consider some applications of our results to the best proximity point theorems on a class of metric spaces endowed with an arbitrary binary relation which involves the partially ordered metric spaces.