Fixed point theorems for a new nonlinear mapping similar to a nonspreading mapping
نویسندگان
چکیده
*Correspondence: [email protected] Department of Basic Sciences, Kyushu Institute of Technology, Tobata, Kitakyushu, 804-8550, Japan Abstract 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: Primary 47H10; secondary 47H09; 47J25
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