Fuzzy-Prešić-Ćirić Operators and Applications to Certain Nonlinear Differential Equations. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Shukla, Satish; Gopal, Dhananjay; Rodríguez-López, Rosana
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 6(2016)
• Page Start: 811
• Page End: 835
• Publication Date: 2016-11-01
• Subjects: Fuzzy-Prešić-Ćirić operator -- fuzzy metric space -- fixed point -- nonlinear differential equations; 54H25 -- 47H10 -- 45D05; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1247303
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: In this paper, we introduce a new class of operators called fuzzy-Prešić-Ćirić 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.