On the Meir-Keeler-Khan set contractions

Volume 9, Issue 8, pp 5271--5280 http://dx.doi.org/10.22436/jnsa.009.08.13

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Authors

Chi-Ming Chen - Department of Applied Mathematics, National Hsinchu University of Education, Taiwan. Erdal Karapınar - Department of Mathematics, Atılım University, 06586 Incek, Ankara, Turkey. Guang-Ting Chen - Department of Applied Mathematics, National Hsinchu University of Education, Taiwan.

Abstract

This report is aim to investigate the fixed points of two classes of Meir-Keeler-Khan set contractions with respect to the measure of noncompactness. The proved results extend a number of recently announced theorems on the topic.

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Keywords

• Meir-Keeler-type set contraction
• multivalued mapping
• fixed points.

MSC

•  54H25
•  47H10

References

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