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- Title
Well-posed fixed point results and data dependence problems in controlled metric spaces.
- Authors
Sagheer, D.; Batul, S.; Daim, A.; Saghir, A.; Aydi, H.; Mansour, S.; Kallel, W.
- Abstract
The present research is aimed to analyze the existence of strict fixed points (SFPs) and fixed points of multivalued generalized contractions on the platform of controlled metric spaces (CMSs). Wardowski-type multivalued nonlinear operators have been introduced employing auxiliary functions, modifying a new contractive requirement form. Well-posedness of obtained fixed point results is also established. Moreover, data dependence result for fixed points is provided. Some supporting examples are also available for better perception. Many existing results in the literature are particular cases of the results established.
- Subjects
NONLINEAR operators; METRIC spaces; FIXED point theory
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-023-03062-5