论文标题
公制空间上的同步和异步循环收缩
Synchronous and asynchronous cyclic contractions on metric spaces
论文作者
论文摘要
由于存在循环现象的存在，其中某些特征在一个以上的阶段中映射到相应的特征中，因此我们介绍了$ r $ cyclic运算符，以覆盖度量空间并研究其行为。我们研究了在不同类型的广义收缩条件下，PICARD迭代到此类操作员的固定点的收敛性。获得的结果可能在各个研究领域具有有趣的实际应用。
Motivated by the existence of cyclic phenomena in which some characteristics are mapped into corresponding ones over more than one phase, we introduce the $r$-cyclic operators with respect to a covering of a metric space and investigate their behavior. We study the convergence of the Picard iteration to a fixed point of such an operator under different types of generalized contraction conditions. The obtained results may have interesting practical applications in various research areas.
