Fixed Points for Mappings with a Contractive Iterate at Each Point
Samet Karaibryamov, Boyan Zlatanov
TL;DR
This paper extends existing fixed point theorems by considering mappings on complete metric spaces that satisfy a contractive iterate condition at each point, broadening the scope of fixed point results.
Contribution
It generalizes prior fixed point theorems to include mappings with a contractive iterate condition at every point in a complete metric space.
Findings
Established new fixed point existence under generalized conditions
Extended classical results to broader classes of mappings
Provided conditions for convergence of iterative processes
Abstract
We generalize the results of Sehgal and Guseman for mappings on a complete metric space with a contractive iterate condition at each point.
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