On v-quasi-Geraghty Contractive Mappings and Application to Perturbed Volterra and Hypergeometric Operators
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Date
2023-03-31
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Kyungpook Mathematical Journal
Abstract
In this paper we suggest an enhanced Geraghty-type contractive mapping
for examining the existence properties of classical nonlinear operators with or without
prior degenerates. The nonlinear operators are proved to exist with the imposition of
the Geraghty-type condition in a non-empty closed subset of complete metric spaces. To
showcase some efficacies of the Geraghty-type condition, convergent rate and stability are
deduced. The results are used to study some asymptotic properties of perturbed integral
and hypergeometric operators. The results also extend and generalize some existing
Geraghty-type conditions.
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Citation
O. T. Wahab (2023), On v-quasi-Geraghty Contractive Mappings and Application to Perturbed Volterra and Hypergeometric Operators,