On new \(\varphi\)-fixed point results involving discontinuous control functions with the effectively example and its applications
DOI:
https://doi.org/10.64700/altay.23Keywords:
\(\varphi\)-fixed points, \(\varphi\)-Picard mappings, homotopy resultAbstract
The main purpose of this paper is to extend and enhance the results of Karapinar et al. [7] by relaxing the continuity assumption on control functions in the contractive setting. The validity and wider applicability of our principal theorem are illustrated through examples. In addition, our generalized framework yields a homotopy result and establishes the existence of solutions for a class of integral equations.
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