Convergence of Picard Iteration to a Fixed Point in Soft Metric Space

  • Julee Srivastava Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur
  • Sudhir Maddheshiya Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur
Keywords: Soft mapping, Soft metric space, Soft contraction, Picard iteration, Fixed point, Picard operator.

Abstract

The aim of this paper is to introduce Picard Iteration in soft metric space when the set of parameters is a fi-nite set. We define the Picard operator and show its strong and weak convergence in soft metric space. This paper includes soft metric extensions of several important theorems of Picard iteration for metric space. Throughout the paper a comprehensive set of examples illustrating the discussed topics are presented.

Published
2022-12-31
Issue
Vol 36 No 01 (2022): JOURNAL OF NATIONAL ACADEMY OF MATHEMATICS INDIA
Section
Articles

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