Common fixed point and invariant approximation theorems for mappings satisfying generalized contraction principle. (English) Zbl 1229.54064
Summary: We prove common fixed point theorems for weakly compatible mappings satisfying a generalized contraction principle by using a control function. As an application, we establish an invariant approximation result. Our theorems generalize recent results existing in the literature.
MSC:
54H25 | Fixed-point and coincidence theorems (topological aspects) |
54E50 | Complete metric spaces |
41A65 | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |