On some weak conditions of commutativity in common fixed point theorems
We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each of the others.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171288000353 |
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Article |
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doaj-7265f9313f064af8bbd0553ce833482f2020-11-24T23:01:34ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111228929610.1155/S0161171288000353On some weak conditions of commutativity in common fixed point theoremsM. Imdad0M. S. Khan1S. Sessa2Aligarh Muslim University, Department of Mathematics, Aligarh 202001, IndiaKing Abdul Aziz University, Faculty of Science, Department of Mathematics, Jeddah 21413, Saudi ArabiaUniversita' di Napoli, Facolta' di Architettura, Istituto Matematico Via Monteoliveto 3, Napoli 80134, ItalyWe generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each of the others.http://dx.doi.org/10.1155/S0161171288000353common fixed pointset-valued mappingweak commutativity. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. Imdad M. S. Khan S. Sessa |
| spellingShingle |
M. Imdad M. S. Khan S. Sessa On some weak conditions of commutativity in common fixed point theorems International Journal of Mathematics and Mathematical Sciences common fixed point set-valued mapping weak commutativity. |
| author_facet |
M. Imdad M. S. Khan S. Sessa |
| author_sort |
M. Imdad |
| title |
On some weak conditions of commutativity in common fixed point theorems |
| title_short |
On some weak conditions of commutativity in common fixed point theorems |
| title_full |
On some weak conditions of commutativity in common fixed point theorems |
| title_fullStr |
On some weak conditions of commutativity in common fixed point theorems |
| title_full_unstemmed |
On some weak conditions of commutativity in common fixed point theorems |
| title_sort |
on some weak conditions of commutativity in common fixed point theorems |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1988-01-01 |
| description |
We generalize common fixed point theorems of Fisher and Sessa in complete metric spaces, using some conditions of weak commutativity between a set-valued mapping and a single-valued mapping. Suitable examples prove that these conditions do not imply each of the others. |
| topic |
common fixed point set-valued mapping weak commutativity. |
| url |
http://dx.doi.org/10.1155/S0161171288000353 |
| work_keys_str_mv |
AT mimdad onsomeweakconditionsofcommutativityincommonfixedpointtheorems AT mskhan onsomeweakconditionsofcommutativityincommonfixedpointtheorems AT ssessa onsomeweakconditionsofcommutativityincommonfixedpointtheorems |
| _version_ |
1725639155739787264 |