| Title:
|
A result on segmenting Jungck–Mann iterates (English) |
| Author:
|
Olatinwo, Memudu Olaposi |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
115-119 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, following the concepts in [5, 7], we shall establish a convergence result in a uniformly convex Banach space using the Jungck–Mann iteration process introduced by Singh et al [13] and a certain general contractive condition. The authors of [13] established various stability results for a pair of nonself-mappings for both Jungck and Jungck–Mann iteration processes. Our result is a generalization and extension of that of [7] and its corollaries. It is also an improvement on the result of [7]. (English) |
| Keyword:
|
Jungck–Mann iteration process |
| Keyword:
|
uniformly convex Banach space |
| MSC:
|
47H06 |
| MSC:
|
47H10 |
| MSC:
|
47J25 |
| idZBL:
|
Zbl 1181.47069 |
| idMR:
|
MR2482721 |
| . |
| Date available:
|
2009-08-27T11:28:20Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133407 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[11] Petryshyn W. V.: Construction of fixed points of demicompact mappings in Hilbert space.J. Math. Anal. Appl. 14 (1966), 276–284. Zbl 0138.39802, MR 0194942 |
| Reference:
|
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| Reference:
|
[13] Singh S. L., Bhatnagar C., Mishra S. N.: Stability of Jungck-type iterative procedures.Internat. J. Math. & Math. Sci. 19 (2005), 3035–3043. Zbl 1117.26005, MR 2206082 |
| . |
