Fixed point theorems for generalized contraction mappings in multiplicative metric spaces

Volume 9, Issue 5, pp 2347--2363 http://dx.doi.org/10.22436/jnsa.009.05.36

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Authors

Afrah A. N. Abdou - Departement of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia.

Abstract

The purpose of this paper is to study and discuss the existence of common fixed points for weakly compatible mappings satisfying the generalized contractiveness and the (CLR)-property. Our results improve the corresponding results given in He et al. [X. He, M. Song, D. Chen, Fixed Point Theory Appl., 2014 (2014), 9 pages]. Moreover, we give some examples to illustrate for the main results.

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Keywords

• Multiplicative metric space
• common fixed point
• compatible mappings
• weakly compatible mappings
• the (CLR)-property.

MSC

•  47H10
•  54H25
•  54E50

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