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Common fixed points Noor iteration for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces |
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| Authors: | Abdul Rahim Khan Abdul-Aziz Domlo |
| Affiliation: | a Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia b Department of Mathematics, Taibah University, P.O. Box 30002, Madinah Munawarah, Saudi Arabia c Department of Mathematics, Islamia University, Bahawlpur 63100, Pakistan |
| Abstract: | In this paper, we introduce a general iteration scheme for a finite family of asymptotically quasi-nonexpansive mappings. The new iterative scheme includes the modified Mann and Ishikawa iterations, three-step iterative scheme of Xu and Noor and Khan and Takahashi scheme as special cases. Our results are generalizations as well as refinement of several known results in the current literature. |
| Keywords: | Modified Mann and Ishikawa iterations Asymptotically quasi-nonexpansive mapping Common fixed point Weak and strong convergence Banach space |
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