Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces
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Authors
Kanayo Stella Eke
- Department of Mathematics, Covenant University, Canaanland, KM 10 Idiroko Road, P. M. B. 1023, Ota, Ogun State, Nigeria
Bijan Davvaz
- Department of Mathematics, Yazd University, Yazd, Iran
Jimevwo Godwin Oghonyon
- Department of Mathematics, Covenant University, Canaanland, KM 10 Idiroko Road, P. M. B. 1023, Ota, Ogun State, Nigeria
Abstract
In this paper, we introduce a class of nonlinear contractive
mappings in metric space. We also establish common fixed point
theorems for these pair of non-self mappings satisfying the
new contractive conditions in the convex metric space . An example
is given to validate our results. The results generalize and
extend some results in literature.
Share and Cite
ISRP Style
Kanayo Stella Eke, Bijan Davvaz, Jimevwo Godwin Oghonyon, Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces, Journal of Mathematics and Computer Science, 18 (2018), no. 2, 184--191
AMA Style
Eke Kanayo Stella, Davvaz Bijan, Oghonyon Jimevwo Godwin, Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces. J Math Comput SCI-JM. (2018); 18(2):184--191
Chicago/Turabian Style
Eke, Kanayo Stella, Davvaz, Bijan, Oghonyon, Jimevwo Godwin. "Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces." Journal of Mathematics and Computer Science, 18, no. 2 (2018): 184--191
Keywords
- Convex metric space
- nonlinear contractive mapping
- non-self mapping
- common fixed point
- coincidentally commuting
MSC
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