A NEW COUPLED FIXED POINT THEOREM VIA SIMULATION FUNCTION WITH APPLICATION

Authors

  • A. Santhi School of Mathematics, Madurai Kamaraj University, Madurai - 625 021, Tamilnadu, India Author
  • S. Muralisankar School of Mathematics, Madurai Kamaraj University, Madurai - 625 021, Tamilnadu, India Author
  • R. P. Agarwal Department of Mathematics, Texas A and M University - Kingsville, 700 University Blvd, MSC 172, Kingsville, Texas 78363-8202, USA Author

Keywords:

Coupled fixed point, Simulation function, Partially ordered metric space, Fractional stochastic differential equations

Subjects:

54H25, 47H10

Abstract

In this article, we establish several infinite families of Ramanujan-type congruences modulo 16, 32 and 64 for $\overline{p}_o(n),$ the number of overpartitions of $n$ in which only odd parts are used.In this paper, we prove a coupled fixed point theorem, using the concept of simulation function, which generalizes the works of Bhaskar et al., Sintunavarat et al. and Zlatanov. The validity of main results is verified through interesting examples. As sequel we also prove that the theorem has a vitalapplication in solving a system of nonlinear impulsive fractional stochastic differential equations.

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Published

2021-07-15

Issue

Vol. 73 No. 3 (2021): Vol. 73, Issue 3

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.