TY - JOUR
T1 - Iterative Approximation of Fixed Point of Multivalued ρ-Quasi-Nonexpansive Mappings in Modular Function Spaces with Applications
AU - Okeke, Godwin Amechi
AU - Bishop, Sheila Amina
AU - Khan, Safeer H
PY - 2018/1/1
Y1 - 2018/1/1
N2 - Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces. We prove some interesting theorems for ρ-quasi-nonexpansive mappings using the Picard-Krasnoselskii hybrid iterative process. We apply our results to solving certain initial value problem.
AB - Recently, Khan and Abbas initiated the study of approximating fixed points of multivalued nonlinear mappings in modular function spaces. It is our purpose in this study to continue this recent trend in the study of fixed point theory of multivalued nonlinear mappings in modular function spaces. We prove some interesting theorems for ρ-quasi-nonexpansive mappings using the Picard-Krasnoselskii hybrid iterative process. We apply our results to solving certain initial value problem.
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U2 - 10.1155/2018/1785702
DO - 10.1155/2018/1785702
M3 - Article
SN - 2314-8896
VL - 2018
JO - Journal of Function Spaces
JF - Journal of Function Spaces
M1 - 1785702
ER -