- 期刊
FIXED POINTS OF A CERTAIN CLASS OF MAPPINGS IN SPACES WITH UNIFORMLY NORMAL STRUCTURE
摘要
A fixed point theorem is proved in a Banach space E which has uniformly normal structure for asymptotically regular mapping T satisfying: for each x, in the domain and for n = 1, 2,..., ||T^nx-T^ny|| ≤ a_n||x-y||+ b_n(||x-T^nx||+||y-T^ny||+c_n||x-T^ny||+||y-T^ny||, where a_n, b_n, c_n are nonnegative constants satisfying certain conditions. This result generalizes a fixed point theorem of Gbrnicki [1].
延伸閱讀
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