2011
DOI: 10.1186/1687-1812-2011-81
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Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces

Abstract: Recently, Gordji et al. [Math. Comput. Model. 54, 1897-1906] 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. Show more

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Cited by 37 publications
(16 citation statements)
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“…They have observation that their theorem can be used to investigate a large class of problems and discussed the existence and uniqueness of a solution for a periodic boundary value problem. For several improvements and generalizations see in [33][34][35][36] and reference therein.…”
Section: Introductionmentioning
confidence: 99%
“…They have observation that their theorem can be used to investigate a large class of problems and discussed the existence and uniqueness of a solution for a periodic boundary value problem. For several improvements and generalizations see in [33][34][35][36] and reference therein.…”
Section: Introductionmentioning
confidence: 99%
“…Many authors have proved common fixed point theorems in fuzzy metric spaces for different contractive conditions. For details, we refer to [14][15][16][17][18][19][20][21][22][23][24][25].…”
Section: Introductionmentioning
confidence: 99%
“…Later, Lakshmikantham and Ćirić [15] proved coupled coincidence and coupled common fixed point theorems for nonlinear mappings F : X × X X and g : X X in partially ordered complete metric spaces. Various results on coupled fixed point have been obtained, since then see, e.g., [6,9,[16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]. Recently, Berinde and Borcut [34] introduced the concept of tripled fixed point in ordered sets.…”
Section: Introductionmentioning
confidence: 99%