A Study on Common Fixed Point and Invariant Approximation Theorems for Mappings Satisfying Generalized Contraction Principle | Chapter 08 | Theory and Applications of Mathematical Science Vol. 3

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.

Author(s) Details

Dr. R. Sumitra
Department of Mathematics, Queen Mary’s College, Chennai-600004, Tamilnadu, India.

Dr. V. Rhymend Uthariaraj
Department of Information Technology, MIT Campus (Anna University), Chennai, Tamilnadu, India.

Dr. R. Hemavathy
Department of Mathematics, Queen Mary’s College, Chennai-600004, Tamilnadu, India.

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