Fuzzy-Presic-Ciric Operators and Applications to Certain Nonlinear Differential Equations

被引:4
|
作者
Shukla, Satish [1 ]
Gopal, Dhananjay [2 ]
Rodriguez-Lopez, Rosana [3 ]
机构
[1] Shri Vaishnav Inst Technol & Sci, Dept Appl Math, Sanwer Rd, Indore 453331, Madhya Pradesh, India
[2] SV Natl Inst Technol, Dept Appl Math & Humanities, Surat 395007, Gujarat, India
[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
关键词
Fuzzy-Presic-Ciric operator; fuzzy metric space; fixed point; nonlinear differential equations; FIXED-POINT THEOREMS; METRIC-SPACES; CONTRACTIVE MAPPINGS;
D O I
10.3846/13926292.2016.1247303
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce a new class of operators called fuzzy-Presic-Ciric operators. For this type of operators, the existence and uniqueness of fixed point in M-complete fuzzy metric spaces endowed with H-type t-norms are established. The results proved here generalize and extend some comparable results in the existing literature. An example is included which illustrates the main result of this paper. Moreover, some applications of our main theorem to the study of certain types of nonlinear differential equations are provided.
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页码:811 / 835
页数:25
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