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Fixed point existence and applications in variational inequalities via modified Ćirić-Reich-Rus contractions
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DOI：10.1080/27684830.2025.2535083.png)
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Abstract
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This paper explores the fixed point properties of a newly define class of operators, referred to as modified & Cacute;iri & cacute;-Reich-Rus contractions. A numerical example highlights the distinctiveness of this class from its traditional counterpart. We establish the existence and uniqueness of fixed points for these modified contractions in the contexts of Banach spaces and convex metric spaces. Additionally, we apply our findings to solve a non-trivial variational inequality problem.
Keywords:
& Cacute
iri & cacute
-Reich-Rus contraction
convex metric spaces
fixed point
Banach space
variational inequality problem
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72
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