On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application

Kutbi Marwan Amin; Sintunavarat Wutiphol<sup>*</sup>

doi:10.1155/2014/342687

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On Sufficient Conditions for the Existence of Past-Present-Future Dependent Fixed Point in the Razumikhin Class and Application

作者：Kutbi Marwan Amin; Sintunavarat Wutiphol^*

来源：Abstract and Applied Analysis, 2014, 2014: 342687.

DOI：10.1155/2014/342687

摘要

We introduce the new type of nonself mapping and study sufficient conditions for the existence of past-present-future (for short PPF) dependent fixed point for such mapping in the Razumikhin class. Also, we apply our result to prove the PPF dependent coincidence point theorems. Finally, we use PPF dependence techniques to obtain solution for a nonlinear integral problem with delay.