# Common fixed point results for multi-valued mappings with some examples

Volume 9, Issue 3, pp 787--798 Publication Date: March 25, 2016
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### Authors

Afrah Ahmad Noan Abdou - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.

### Abstract

In this paper, we define the concepts of the (CLR)-property and the (owc)-property for two single-valued mappings and two multi-valued mappings in metric spaces and give some new common fixed point results for these mappings. Also, we give some examples to illustrate the main results in this paper. Our main results extend and improve some results given by some authors.

### Keywords

• Weakly compatible mappings
• fixed point
• coincidence point
• the (CLR)-property
• the (owc)-property
• the (CLRf )-property.

•  47H09
•  46B20
•  47H10
•  47E10

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