Nonlinear Functional Analysis and Applications
- Volume 24 Issue 4
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- Pages.651-664
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- 2019
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- 1229-1595(pISSN)
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- 2466-0973(eISSN)
APPROXIMATION OF COMMON FIXED POINT OF THREE MULTI-VALUED ρ-QUASI-NONEXPANSIVE MAPPINGS IN MODULAR FUNCTION SPACES
- Godwin Amechi Okeke (Department of Mathematics, School of Physical Sciences Federal University of Technology) ;
- Jong Kyu Kim (Department of mathematics Education Kyungnam University)
- Received : 2018.07.28
- Published : 20191200
Abstract
It is our purpose to continue the study of approximation of fixed point of multi- valued nonlinear mappings in a modular function space which is initiated by Khan and Abbas [14]. Some convergence results were established for three multi-valued ρ-quasi-nonexpansive mappings using a three step iterative scheme.
Keywords
- Common fixed point;
- multi-valued ${\rho}$-quasi-nonexpansive mappings;
- modular function spaces;
- three step iterative scheme