Perov Type Results in Gauge Spaces and its Applications to Systems of Integral Equations


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Authors

  • Rajesh Shrivastava Government Dr. Shyama Prashad Mukherjee Science \& Commerce College, Old Benajir, Bhopal, Madhya Pradesh, India.
  • Sachin Mokhle Government Dr. Shyama Prashad Mukherjee Science & Commerce College, Old Benajir, Bhopal, Madhya Pradesh, India.

Keywords:

Integral equation, Gauge space, Fixed point

Abstract

In this paper we present Perov type fixed point theorems for contractive mappings in Gheorghiu’s sense on spaces endowed with a family of vector valued pseudo-metrics. Applications to systems of integral equations are given to illustrate the theory. The examples also prove the advantage of using vector valued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations.

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Published

02-04-2022

How to Cite

Rajesh Shrivastava, & Sachin Mokhle. (2022). Perov Type Results in Gauge Spaces and its Applications to Systems of Integral Equations. International Journal of Mathematics And Its Applications, 10(1), 85–96. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/17

Issue

Vol. 10 No. 1 (2022)

Section

Research Article

License

Creative Commons License

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