Cyclic Contractions: An Improvement Result

Praveen Agarwal (), Mohamed Jleli and Bessem Samet
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Praveen Agarwal: Anand International College of Engineering, Department of Mathematics
Mohamed Jleli: King Saud University, Department of Mathematics, College of Sciences
Bessem Samet: King Saud University, Department of Mathematics, College of Sciences

Chapter Chapter 4 in Fixed Point Theory in Metric Spaces, 2018, pp 67-78 from Springer

Abstract: Abstract In this chapter, we give an improvement fixed point result for cyclic contractions by weakening the closure assumption that is usually supposed in the literature. As applications, we discuss the existence of solutions to certain systems of functional equations. The main reference of this chapter is the paper [4].

Keywords: Cyclic Contraction; Improved Results; Closure Assumption; Functional Equations; Arbitrary Nonempty Subset (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-13-2913-5_4

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DOI: 10.1007/978-981-13-2913-5_4

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