dc.contributor.author |
Alofi, Abdulaziz Saleem Moslem
|
|
dc.contributor.author |
Al-Mazrooei, Abdullah Eqal
|
|
dc.contributor.author |
Leyew, Bahru Tsegaye
|
|
dc.contributor.author |
Abbas, Mujahid
|
|
dc.date.accessioned |
2017-10-07T08:49:04Z |
|
dc.date.available |
2017-10-07T08:49:04Z |
|
dc.date.issued |
2017 |
|
dc.description.abstract |
In this paper, we introduce the concept of -dominated multivalued mappings and establish the existence of common fixed
points of such mappings on a closed ball contained in left/right K-sequentially complete dislocated quasi b-metric spaces. These
results improve, generalize, extend, unify, and complement various comparable results in the existing literature. Our results not
only extend some primary results to left/right K-sequentially dislocated quasi b-metric spaces but also restrict the contractive
conditions on a closed ball only. Some examples are presented to support the results proved herein. Finally as an application,
we obtain some common fixed point results for single-valued mappings by an application of the corresponding results for multivalued
mappings satisfying the contractive conditions more general than Banach type and Kannan type contractive conditions
on closed balls in a left K-sequentially complete dislocated quasi b-metric space endowed with an arbitrary binary relation. |
en_ZA |
dc.description.department |
Mathematics and Applied Mathematics |
en_ZA |
dc.description.librarian |
am2017 |
en_ZA |
dc.description.sponsorship |
The third author is thankful
to the financial assistance of the National Research Foundation (NRF) and DST-NRF Centre of Excellence
in Mathematical and Statistical Sciences (CoE-MaSS). |
en_ZA |
dc.description.uri |
http://www.isr-publications.com/jnsa |
en_ZA |
dc.identifier.citation |
Alofi, A.S.M., Al-Mazrooei, A.E., Leyew, B.T. & Abbas, M. 2017, 'Common fixed points of alpha-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space', Journal of Nonlinear Sciences and Applications, vol. 10, pp. 3456-3476. |
en_ZA |
dc.identifier.issn |
2008-1898 (print) |
|
dc.identifier.issn |
2008-1901 (online) |
|
dc.identifier.other |
10.22436/jnsa.010.07.10 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/62598 |
|
dc.language.iso |
en |
en_ZA |
dc.publisher |
International Scientific Research Publications (ISRP) |
en_ZA |
dc.rights |
© 2017 All rights reserved. |
en_ZA |
dc.subject |
K-Sequentially complete |
en_ZA |
dc.subject |
Dislocated quasi b-metric spaces |
en_ZA |
dc.subject |
-Dominated multivalued mapping |
en_ZA |
dc.subject |
Closed ball |
en_ZA |
dc.subject |
Common fixed point |
en_ZA |
dc.title |
Common fixed points of alpha-dominated multivalued mappings on closed balls in a dislocated quasi b-metric space |
en_ZA |
dc.type |
Article |
en_ZA |