# Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result

Volume 10, Issue 7, pp 3381--3396 Publication Date: July 20, 2017       Article History
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### Authors

Wasfi Shatanawi - Department of Mathematics and general courses, Prince Sultan University Riyadh, Saudi Arabia.
Mohd Salmi MD Norani - School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan, Malaysia, 43600 UKM, Selangor, Malaysia.
Jamshaid Ahmad - Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
Habes Alsamir - School of mathematical Sciences, Faculty of Science and Technology, University Kebangsaan, Malaysia, 43600 UKM, Selangor, Malaysia.
Marwan Amin Kutbi - Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.

### Abstract

The purpose of this article is to generalize common fixed point theorems under contractive condition involving rational expressions on a complete complex-valued metric space. Obtained results in this article extend, generalize, and improve wellknown comparable results in the literature.

### Keywords

• Complex-valued metric space
• multivalued mappings
• $\alpha^*$-admissible
• closed ball.

•  47H10
•  54H25

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