Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations
<p>Abstract</p> <p>In this article, we introduce two new different classes of noncommuting selfmaps. The first class is more general than <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi math...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/67 |
| _version_ | 1811299308654297088 |
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| author | Sintunavarat Wutiphol Kumam Poom |
| author_facet | Sintunavarat Wutiphol Kumam Poom |
| author_sort | Sintunavarat Wutiphol |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In this article, we introduce two new different classes of noncommuting selfmaps. The first class is more general than <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator class of Hussain et al. (Common fixed points for <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operators and occasionally weakly biased pairs under relaxed conditions. Nonlinear Anal. <b>74</b>(6), 2133-2140, 2011) and occasionally weakly compatible class. We establish the existence of common fixed point theorems for these classes. Several invariant approximation results are obtained as applications. Our results unify, extend, and complement several well-known results.</p> <p> <b>2000 Mathematical Subject Classification: </b>47H09; 47H10.</p> |
| first_indexed | 2024-04-13T06:34:14Z |
| format | Article |
| id | doaj.art-dd0dce955f2b4dc0ac8c7dd1af4af70e |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T06:34:14Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-dd0dce955f2b4dc0ac8c7dd1af4af70e2022-12-22T02:58:00ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-012011167Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximationsSintunavarat WutipholKumam Poom<p>Abstract</p> <p>In this article, we introduce two new different classes of noncommuting selfmaps. The first class is more general than <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator class of Hussain et al. (Common fixed points for <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operators and occasionally weakly biased pairs under relaxed conditions. Nonlinear Anal. <b>74</b>(6), 2133-2140, 2011) and occasionally weakly compatible class. We establish the existence of common fixed point theorems for these classes. Several invariant approximation results are obtained as applications. Our results unify, extend, and complement several well-known results.</p> <p> <b>2000 Mathematical Subject Classification: </b>47H09; 47H10.</p>http://www.journalofinequalitiesandapplications.com/content/2011/1/67common fixed pointoccasionally weakly compatible mapsBanach operator pair<inline-formula> <m:math name="1029-242X-2011-67-i2" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">P</m:mi> </m:math> </inline-formula>-operator pair<inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator pairgeneralized <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator pairinvariant approximation |
| spellingShingle | Sintunavarat Wutiphol Kumam Poom Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations Journal of Inequalities and Applications common fixed point occasionally weakly compatible maps Banach operator pair <inline-formula> <m:math name="1029-242X-2011-67-i2" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">P</m:mi> </m:math> </inline-formula>-operator pair <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator pair generalized <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator pair invariant approximation |
| title | Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations |
| title_full | Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations |
| title_fullStr | Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations |
| title_full_unstemmed | Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations |
| title_short | Common fixed point theorems for generalized <inline-formula> <m:math name="1029-242X-2011-67-i1" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator classes and invariant approximations |
| title_sort | common fixed point theorems for generalized inline formula m math name 1029 242x 2011 67 i1 xmlns m http www w3 org 1998 math mathml m mi mathvariant script j m mi m mi mathvariant script h m mi m math inline formula operator classes and invariant approximations |
| topic | common fixed point occasionally weakly compatible maps Banach operator pair <inline-formula> <m:math name="1029-242X-2011-67-i2" xmlns:m="http://www.w3.org/1998/Math/MathML"><m:mi mathvariant="script">P</m:mi> </m:math> </inline-formula>-operator pair <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator pair generalized <inline-formula> <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" name="1029-242X-2011-67-i1"> <m:mi mathvariant="script">J</m:mi> <m:mi mathvariant="script">H</m:mi> </m:math> </inline-formula>-operator pair invariant approximation |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/67 |
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