A note on “Some results on multi-valued weakly Jungck mappings in \(b\)-metric space”. (English) Zbl 1294.47075
The paper by M. O. Olatinwo [Cent. Eur. J. Math. 6, No. 4, 610–621 (2008; Zbl 1175.47055)] contains three theorems involving three kinds of weakly Jungck mappings defined on a \(b\)-metric space. Unfortunately, each theorem contains an error in the proof, as the result of an incorrect use of one of the properties of a \(b\)-metric space. The authors, in the paper under review, have indicated where the errors are, and have provided correct results, using certain needed stronger conditions.
Reviewer: Billy E. Rhoades (Bloomington)
MSC:
| 47H10 | Fixed-point theorems |
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 47H08 | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. |
| 54C60 | Set-valued maps in general topology |
Keywords:
fixed point; generalized \(\alpha\)-\(\psi \) contractive mapping; \(\alpha \)-admissible; \((c)\)-comparison function; partial order; cyclic mappingCitations:
Zbl 1175.47055References:
| [1] | Olatinwo M.O., Some results on multi-valued weakly jungck mappings in b-metric space, Cent. Eur. J. Math., 2008, 6(4), 610-621 http://dx.doi.org/10.2478/s11533-008-0047-3; · Zbl 1175.47055 |
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