Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings
<p/> <p>We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems. This equivalence is used to sugge...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2011/635030 |
| id |
doaj-9e7e0b54729c4f7783441d09b4d91b44 |
|---|---|
| record_format |
Article |
| spelling |
doaj-9e7e0b54729c4f7783441d09b4d91b442020-11-25T02:09:36ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122011-01-0120111635030Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued MappingsAhmad RaisDilshad Mohd<p/> <p>We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems. This equivalence is used to suggest an iterative algorithm for solving resolvent equations. Some examples are constructed.</p>http://www.fixedpointtheoryandapplications.com/content/2011/635030 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ahmad Rais Dilshad Mohd |
| spellingShingle |
Ahmad Rais Dilshad Mohd Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings Fixed Point Theory and Applications |
| author_facet |
Ahmad Rais Dilshad Mohd |
| author_sort |
Ahmad Rais |
| title |
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings |
| title_short |
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings |
| title_full |
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings |
| title_fullStr |
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings |
| title_full_unstemmed |
Variational-Like Inclusions and Resolvent Equations Involving Infinite Family of Set-Valued Mappings |
| title_sort |
variational-like inclusions and resolvent equations involving infinite family of set-valued mappings |
| publisher |
SpringerOpen |
| series |
Fixed Point Theory and Applications |
| issn |
1687-1820 1687-1812 |
| publishDate |
2011-01-01 |
| description |
<p/> <p>We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces are equivalent to fixed point problems. This equivalence is used to suggest an iterative algorithm for solving resolvent equations. Some examples are constructed.</p> |
| url |
http://www.fixedpointtheoryandapplications.com/content/2011/635030 |
| work_keys_str_mv |
AT ahmadrais variationallikeinclusionsandresolventequationsinvolvinginfinitefamilyofsetvaluedmappings AT dilshadmohd variationallikeinclusionsandresolventequationsinvolvinginfinitefamilyofsetvaluedmappings |
| _version_ |
1715558554611482624 |