Some coupled common fixed points for a pair of mappings in partially ordered \(G\)-metric spaces. (English) Zbl 1295.54044
Summary: The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a mixed \(g\)-monotone property in partially ordered \(G\)-metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature. To illustrate our results, we give some examples.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54F05 | Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces |
| 54E40 | Special maps on metric spaces |
| 41A50 | Best approximation, Chebyshev systems |
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