A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle
Theory and Applications of Mathematical Science Vol. 3,
Page 140-148
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.
Keywords:
- Common fixed point
- weakly compatible
- generalized weak contraction
- altering distance
- control function
- invariant approximation
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
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