Tykhonov well-posedness of fixed point problems in contact mechanics

Abstract We consider a fixed point problem S u = u $\mathcal {S}u=u$ where S : C ( R + ; X ) → C ( R + ; X ) ${\mathcal {S}:C(\mathbb{R}_{+};X)\to C(\mathbb{R}_{+};X)}$ is an almost history-dependent operator. First, we recall the unique solvability of the problem. Then, we introduce the concept of...

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Bibliographic Details
Main Author: Mircea Sofonea
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Fixed Point Theory and Algorithms for Sciences and Engineering
Subjects:
Online Access:https://doi.org/10.1186/s13663-022-00722-x