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Best proximity point theorems for KT-types cyclic orbital contraction mappings

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2012

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House Book Science

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Abstract

In this manuscript, three new KT-types cyclic orbital contractions are defined and some related best proximity point theorems are given. Also, the notion of KT-type cyclic orbital Meir-Keeler contraction is defined and some fixed point theorems for this class of mappings are proved. The results of this manuscript generalize some theorems, on the same subject, of several authors, such as Kirk-Srinavasan-Veeramani, Eldered-Veeramani and Karpagam-Agrawal.

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Cyclic Contraction, Best Proximity Points, KTi-Types Cyclic Orbital Contractions

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Citation

Karapınar, E., Petrusel, G., Taş, K. (2012). Best proximity point theorems for KT-types cyclic orbital contraction mappings. Fixed Point Theory, 13(2). 537-545.

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Source

Fixed Point Theory

Volume

13

Issue

2

Start Page

537

End Page

545