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Kutbi, Marwan Amin; Sintunavarat, Wutiphol

On sufficient conditions for the existence of past-present-future dependent fixed point in the Razumikhin class and application. (English) Zbl 1472.47045

Abstr. Appl. Anal. 2014, Article ID 342687, 8 p. (2014).
Summary: 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.

Cited in 5 Documents

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
47N20 Applications of operator theory to differential and integral equations

Keywords:

past-present-future dependent fixed point; Razumikhin class; integral problem with delay
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References:

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