Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations

被引：0
作者：
Gui-Xiu Chen
Shamoona Jabeen
Saif Ur Rehman
Ahmed Mostafa Khalil
Fatima Abbas
Arzoo Kanwal
Hayat Ullah
机构：
[1] Qinghai Normal University,School of Mathematics and Statistics
[2] Beihang University,School of Mathematical Sciences
[3] Gomal University,Department of Mathematics
[4] Al-Azhar University,Department of Mathematics, Faculty of Science
[5] Gomal University,Department of Statistics
来源：
Advances in Difference Equations | / 2020卷
关键词：
Coupled fixed point; Strong coupled fixed point; Contraction conditions; Fuzzy cone metric space; 47H10; 54H25;
D O I：
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摘要：
In this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled fixed results using the partial order metric in the said space. We present some strong coupled fixed point theorems using cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. Moreover, we present an application of nonlinear integral equations for the existence of a unique solution to support our work.
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