Open AccessModified inertial Ishikawa iterations for fixed points of nonexpansive mappings with an application
Author(s) -
Hasanen A. Hammad,
AUTHOR_ID,
Hassan Almusawa,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022388
Subject(s) - fixed point , banach space , inertial frame of reference , differentiable function , regular polygon , mathematics , norm (philosophy) , sequence (biology) , pure mathematics , discrete mathematics , mathematical analysis , geometry , physics , quantum mechanics , biology , political science , law , genetics
This manuscript aims to prove that the sequence $ \{\nu _{n}\} $ created iteratively by a modified inertial Ishikawa algorithm converges strongly to a fixed point of a nonexpansive mapping $ Z $ in a real uniformly convex Banach space with uniformly Gâteaux differentiable norm. Moreover, zeros of accretive mappings are obtained as an application. Our results generalize and improve many previous results in this direction. Ultimately, two numerical experiments are given to illustrate the behavior of the purposed algorithm.