- Volume 47 Issue 3
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BROWDER'S TYPE STRONG CONVERGENCE THEOREM FOR S-NONEXPANSIVE MAPPINGS
- Kim, Jong-Kyu (Department of Mathematics Educations Kyungnam University) ;
- Sahu, Daya Ram (Department of Mathematics Banaras Hindu University) ;
- Anwar, Sajid (Anjuman College of Engineering and Technology Mangalwari Bazar Road)
- Received : 2008.10.16
- Published : 2010.05.31
We prove a common fixed point theorem for S-contraction mappings without continuity. Using this result we obtain an approximating curve for S-nonexpansive mappings in a Banach space and prove Browder's type strong convergence theorem for this approximating curve. The demiclosedness principle for S-nonexpansive mappings is also established.
demicontinuity;R-weakly commutativity;S-contraction mapping;S-nonexpansive mapping
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