Common fixed point theorems for non-self mappings of nonlinear contractive maps in convex metric spaces
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.
Keywords
- Convex metric space
- nonlinear contractive mapping
- non-self mapping
- common fixed point
- coincidentally commuting
MSC
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