A Study on Some Multi-Valued Interpolative Contractions

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Communications in Advanced Mathematical Sciences
Volume:3 Issue:4
A Study on Some Multi-Valued Interpolative Contractions

A Study on Some Multi-Valued Interpolative Contractions

Authors : Seher Sultan YEŞİLKAYA, Cafer AYDIN, Yaşar ASLAN

Pages : 208-217

Doi:10.33434/cams.794172

View : 23 | Download : 14

Publication Date : 2020-12-22

Article Type : Research Paper

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

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