A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle

  • R. Sumitra Department of Mathematics, Queen Mary's College, Chennai-600004, Tamilnadu, India.
  • V. Rhymend Uthariaraj Department of Information Technology, MIT Campus (Anna University), Chennai, Tamilnadu, India.
  • R. Hemavathy Department of Mathematics, Queen Mary's College, Chennai-600004, Tamilnadu, India.
Keywords: Common fixed point, weakly compatible, generalized weak contraction, altering distance, control function, invariant approximation

Abstract

We prove common fixed point theorems for weakly compatible mappings satisfying a generalized contraction principle by using a control function. As an application, we have established invariant approximation result. Our theorems generalize recent results existing in the literature.

Published
2020-03-02
How to Cite
Sumitra, R., Uthariaraj, V. R., & Hemavathy, R. (2020). A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle. Theory and Applications of Mathematical Science Vol. 3, 140-148. Retrieved from https://stm1.bookpi.org/index.php/tams-v3/article/view/1116
Issue
Theory and Applications of Mathematical Science Vol. 3
Section
Chapters