Acknowledgement
This work was supported by the Basic Science Research Program through the National Research Foundation(NRF) Grant funded by Ministry of Education of the republic of Korea (2018R1D1A1B07045427).
Nonlinear Functional Analysis and Applications
- Volume 23 Issue 4
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- Pages.613-627
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- 2018
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- 1229-1595(pISSN)
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- 2466-0973(eISSN)
MEAN CONVERGENCE THEOREMS FOR ASYMPTOTICALLY DEMICONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE
- Godwin Amechi Okeke (Department of Mathematics, School of Physical Sciences, Federal University of Technology) ;
- Johnson O. Olaleru (Department of Mathematics, Faculty of Science, University of Lagos) ;
- Jong Kyu Kim (Department of mathematics Education, Kyungnam University)
- Received : 2018.06.22
- Published : 20181200
Abstract
Recently, Olaleru and Okeke [19] introduced the class of asymptotically demicon-tractive mappings in the intermediate sense as a generalization of the class of asymptotically demicontractive mappings. The authors proved some convergence theorems for this class of nonlinear mappings in Hilbert spaces (see, [19]). The purpose of this paper is to continue the study of this class of nonlinear mappings. We prove some fixed point theorems for the class of asymptotically demicontractive mappings in the intermediate sense. We also prove some mean convergence theorems for this class of mappings in Hilbert spaces.
Keywords
- Demiclosedness Principle;
- asymptotically demicontractive mappings in the intermediate sense;
- mean convergence theorem