Fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space (Q1607805)

Let \(X\) be a metric space and let \(f\), \(S\) be self-maps on \(X\) for which there exists a sequence \(\{x_n\}_{n=0}^\infty\) of elements from \(X\) such that \(Sx_{n+1}=fx_n\) for \(n=0,1,2,\ldots\). The authors obtain fixed point and coincidence point theorems for a pair of such mappings satisfying a generalized nonexpansive type condition. The case of multivalued maps is also considered.