Fixed Point Results of Expansive Mappings in Metric Spaces

Seher Sultan Yeşilkaya and Cafer Aydın
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Seher Sultan Yeşilkaya: Institute of Science and Technology, Kahramanmaraş Sütçü İmam University, Kahramanmaraş 46040, Turkey
Cafer Aydın: Department of Mathematics, Kahramanmaraş Sütçü İmam University, Kahramanmaraş 46040, Turkey

Mathematics, 2020, vol. 8, issue 10, 1-10

Abstract: In this study, we introduce the concept of θ -expansive mapping in ordered metric spaces and prove a fixed point theorem for such mappings. We give some fixed point results for θ -expansive mapping in metric spaces and prove fixed point theorems for such mappings. These results extend the main results of many comparable results from the current literature. We also obtain a common fixed point theorem of two weakly compatible mappings in metric spaces. Finally, the examples are presented to support the new theorems and results proved.

Keywords: metric spaces; weakly compatible; ordered metric spaces; ? -expansive mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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