Common Fixed Point Theorems for Four Maps

Muhammad Nazam (), Choonkil Park () and Muhammad Arshad ()
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Muhammad Nazam: International Islamic University, Department of Mathematics and Statistics
Choonkil Park: Hanyang University, Research Institute for Natural Sciences
Muhammad Arshad: International Islamic University, Department of Mathematics and Statistics

Chapter Chapter 12 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 283-309 from Springer

Abstract: Abstract In this chapter, we manifest some coincidence and common fixed point theorems for four maps satisfying Círíc type and Hardy–Rogers type $$(\alpha ,F)$$ ( α , F ) -contractions on $$\alpha $$ α -complete metric spaces. We apply these results to infer several new and old corresponding results in ordered metric spaces and graphic metric spaces. These results also generalize some results obtained previously. We present an example and an application to support our results.

Keywords: $$\alpha $$ α -Complete metric space; $$(\alpha; F)$$ ( α; F ) -Contraction; Common fixed point; Four maps; Coincidence point (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_12

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DOI: 10.1007/978-981-33-6647-3_12

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