Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces
By Wutiphol Sintunavarat, Yeol Je Cho, Poom Kumam. 2011
85 citations recorded by the source corpus.
Recently, Gordji et al. [Math. Comput. Model. 54, 1897-1906 (2011)] prove the coupled coincidence point theorems for nonlinear contraction mappings satisfying commutative condition in intuitionistic fuzzy normed spaces. The aim of this article is to extend and improve some coupled coincidence point theorems of Gordji et al. Also, we give an example of a nonlinear contraction mapping which is not applied by the results of Gordji et al., but can be applied to our results.2000 MSC: primary 47H10; secondary 54H25; 34B15.
Subfields: Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/1d5741ebe5266bfaad25655d971e72c9d3429668
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Citations in the corpus
- Coupled best proximity point theorem in metric Spaces (2012, background): “Several improvements and generalizations of [14] have recently appeared in the literature (see [1, 30, 31] and references therein).”
- A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations (2012, background): “The existence of a fixed point, a common fixed point and a couple fixed point for some kinds of contraction type mappings in cone metric spaces, partially ordered metric spaces and fuzzy metric spaces has been considered recently by some authors [1-28] and, by using fixed point theorems, some of the”
- Common fixed points for R-weakly commuting in fuzzy metric spaces (2012, background): “Many authors have contributed to the development of this theory and apply to fixed point theory, for instance [6,8,12,31,32].”