Liu, Zeqing; Ume, Jeong Sheok On coincidence and common fixed points of nearly densifying mappings. (English) Zbl 0982.54032 Int. J. Math. Math. Sci. 24, No. 9, 627-641 (2000). Let \(A\) be a bounded subset of a metric space \((X,d)\) and \(\alpha(A)\) be the Kuratowski measure of noncompactness of \(A\). A mapping \(f: X\to X\) is said to be nearly densifying if \(\alpha(f(A))<\alpha(A)\) for every bounded and \(f\)-invariant subset \(A\) of \(X\) with \(\alpha(A)> 0\).In the present paper the authors establish some coincidence and common fixed point theorems for certain nearly densifying mappings in complete metric spaces. These results unify a lot of previously known theorems. Reviewer: J.Górnicki (Rzeszów) MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) PDFBibTeX XMLCite \textit{Z. Liu} and \textit{J. S. Ume}, Int. J. Math. Math. Sci. 24, No. 9, 627--641 (2000; Zbl 0982.54032) Full Text: DOI EuDML