A Study on Some Multi-Valued Interpolative Contractions
Abstract
In the present study, we introduce a new approach to interpolative mappings in fixed point theory by combining the ideas of Nadler [1], Karapınar et. al. [2,3], Jleli and Samet [4]. We introduce some fixed point theorems for interpolative single and multi-valued Kannan type and Reich Rus Ciric type $\theta$-contractive mappings on complete metric spaces and prove some fixed point results for these mappings. These results extend the main results of many comparable results from the current literature. Also, we give an example to show that our main theorems are applicable.
Keywords
Fixed point, Metric spaces, Multi-valued contractive mapping
References
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