Abstract
Let $X,Y$ be the normed spaces, $C\subset X$ a convex set, and $T:C\rightarrow Y$ a continuous mapping. Some weak conditions implying the Lipschitz continuity of $T$ are presented. Applications to the fixed point theory and theory of composition operators are presented.
Citation
Janusz Matkowski. "Remarks on Lipschitzian mappings and some fixed point theorems." Banach J. Math. Anal. 1 (2) 237 - 244, 2007. https://doi.org/10.15352/bjma/1240336222
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