On some inequalities in 2-metric spaces. (English) Zbl 1504.54032
Summary: In this paper, we establish new inequalities in the setting of 2-metric spaces and provide their geometric interpretations. Some of our results are extensions of those obtained by S. S. Dragomir and A. C. Goşa in the setting of metric spaces [J. Indones. Math. Soc. 11, No. 1, 33–38 (2005; Zbl 1069.54507)].
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 26D15 | Inequalities for sums, series and integrals |
| 39B82 | Stability, separation, extension, and related topics for functional equations |
| 54E35 | Metric spaces, metrizability |
| 39B52 | Functional equations for functions with more general domains and/or ranges |
Citations:
Zbl 1069.54507References:
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