dc.contributor.author |
Abbas, Mujahid
|
|
dc.contributor.author |
Ali, Basit
|
|
dc.contributor.author |
Romaguera, Salvador
|
|
dc.date.accessioned |
2014-09-09T06:32:18Z |
|
dc.date.available |
2014-09-09T06:32:18Z |
|
dc.date.issued |
2014-02-26 |
|
dc.description.abstract |
Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point result in complete metric spaces as
a generalization of Banach contraction principle. In this paper, we introduce a notion of generalized F-contraction mappings
which is used to prove a fixed point result for generalized nonexpansive mappings on star-shaped subsets of normed linear spaces.
Some theorems on invariant approximations in normed linear spaces are also deduced. Our results extend, unify, and generalize
comparable results in the literature. |
en_US |
dc.description.librarian |
am2014 |
en_US |
dc.description.sponsorship |
Salvador Romaguera
acknowledges the support of the Universitat Politecnica de
Valencia, Grant PAID-06-12-SP20120471. |
en_US |
dc.description.uri |
http://www.hindawi.com/journals/aaa/ |
en_US |
dc.identifier.citation |
Abbas, M, Ali, B & Romaguera, S 2014, 'Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces', Abstract and Applied Analysis, vol. 2014, art. 391952, pp. 1-5.as |
en_US |
dc.identifier.issn |
1085-3375 (print) |
|
dc.identifier.issn |
1687-0409 (online) |
|
dc.identifier.other |
10.1155/2014/391952 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/41949 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Hindawi Publishing Corporation |
en_US |
dc.rights |
© 2014 Mujahid Abbas et al. This is an open access article distributed under the Creative Commons Attribution License. |
en_US |
dc.subject |
Generalized F-contraction mappings |
en_US |
dc.subject |
Fixed point result |
en_US |
dc.subject |
Generalized nonexpansive mappings |
en_US |
dc.subject |
Star-shaped subsets |
en_US |
dc.subject |
Normed linear spaces |
en_US |
dc.title |
Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces |
en_US |
dc.type |
Article |
en_US |