Randomized trial demonstrates the existence of fixed points in partial metric spaces, suggesting theoretical advancements in fixed point theory.
This article presents the interpolative fixed point theorem with reference to complete partial metric spaces, by taking the multi-valued contraction into account. In particular, the idea of multivalued interpolative Reich–Rus–Ćirić type contractions is introduced and criteria for the existence of fixed points of such operators are established. A nontrivial example is provided to support the validity of the obtained results.
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Yahaya et al. (2026) studied this question.
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