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Fixed point results in b -metric spaces using families of control functions and their application to dynamic programming

机译:不定点使用控制函数族在b-度量空间中的应用及其在动态编程中的应用

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We obtain some fixed point theorems for mappings acting in b-metric spaces. Theresults extend those obtained in [R.P. Agarwal, E. Karap?nar, A.-F. Roldán-López-de-Hierro, On anextension of contractivity conditions via auxiliary functions, Fixed Point Theory Appl., 2015:104,2015] using families of control functions, here also through conditions that involve -admissibilityof type S. We furnish an illustrative example to demonstrate the validity of the hypotheses andthe degree of usefulness of our results. As an application, the existence of solution for functionalequations arising in dynamic programming is discussed, followed by suitable examples.
机译:我们获得了一些作用于b-度量空间中的映射的不动点定理。结果扩展了[RP。 Agarwal,E。Karap?nar,A.-F。 Roldán-López-de-Hierro,“关于通过辅助函数收缩性条件的扩展,不动点理论应用,2015:104,2015],使用控制函数族,这里也涉及涉及-S型可容许性的条件。例子来证明假设的有效性和我们的结果的有用程度。作为一种应用,讨论了动态编程中出现的功能方程式解决方案的存在,并附有适当的示例。

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