Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping
Tomonari Suzuki · Fixed Point Theory and Applications · 2014
We introduce a new nonlinear mapping similar to the nonspreading mapping which is defined by Kohsaka and Takahashi (Arch. Math. 91:166-177, 2008). We prove fixed point theorems for such a mapping without the convexity of the domain. We also prove convergence theorems. MSC:47H10, 47H09, 47J25.