Tripled coincidence point theorems for weak \(\phi\)-contractions in partially ordered metric spaces. (English) Zbl 1398.54065
Summary: In this article, we present tripled coincidence point theorems for \(F: X^3 \to X \) and \(g: X \to X \) satisfying weak \(\phi\)-contractions in partially ordered metric spaces. We also provide nontrivial examples to illustrate our results and new concepts presented herein. Our results unify, generalize and complement various known comparable results from the current literature [V. Berinde and M. Borcut, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 15, 4889–4897 (2011; Zbl 1225.54014)]; M. Abbas, H. Aydi and E. Karapınar, “Tripled common fixed point in partially ordered metric spaces”, submitted].
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 54F05 | Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces |
Citations:
Zbl 1225.54014References:
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