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 |
| Published: |
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 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |