Fixed point results of weakly polynomial contractions
Keywords:
Fixed point, Weak contraction, Polynomial contractionAbstract
In this paper, a new family of weakly polynomial-type contractions defined on a metric space is presented. Under suitable hypotheses, it is shown that such contractive operators possess unique fixed points (FPs). Owing to the polynomial nature of the higher-order terms in the contractions, several significant particular cases, including existing results, are highlighted and discussed. In contrast to many existing Lipschitz-type inequalities, the proposed family of contractive inequalities does not force the mappings to be continuous.
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Copyright (c) 2026 Mohammed Shehu Shagari, Ishaq Sadiq Abubakar (Author)
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