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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. View Books: http://bp.bookpi.org/index.php/bpi/catalog/book/146

Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces | Chapter 05 | Theory and Applications of Mathematical Science Vol. 2

In this chapter, we establish some common fixed point theorems for a pair of self mappings in fuzzy cone metric spaces under the generalize fuzzy cone contraction conditions. we extend and improve some recent results given in the literature. Author(s) Details Dr. Saif Ur Rehman Department of Mathematics, Gomal University, Dera Ismail Khan 29050, Pakistan. View full book: http://bp.bookpi.org/index.php/bpi/catalog/book/140