Equivalence of Certain Iteration Processes Obtained by Two New Classes of Operators Article Swipe
Related Concepts
Equivalence (formal languages)
Mathematics
Fixed point
Variational inequality
Iterative method
Applied mathematics
Power iteration
Discrete mathematics
Algebra over a field
Mathematical optimization
Pure mathematics
Mathematical analysis
Mujahid Abbas
,
Rizwan Anjum
,
Vasile Berinde
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/math9182292
· OA: W3199128890
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/math9182292
· OA: W3199128890
The aim of this paper is two fold: the first is to define two new classes of mappings and show the existence and iterative approximation of their fixed points; the second is to show that the Ishikawa, Mann, and Krasnoselskij iteration methods defined for such classes of mappings are equivalent. An application of the main results to solve split feasibility and variational inequality problems are also given.
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