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Interpolative Contraction and Discontinuity at Fixed Point on Partial Metric Spaces

Year: 2025

Type: article

Abstract: This paper proposes a novel technique for solving Rhodes’ discontinuity problem by exploiting the features of a self-mapping that has a fixed point but is not continuous at that point within a partial metric space. Moreover, we investigate some geometric properties of FT under interpolative-type contractions and establish a few results related to fixed-discs and fixed-circles.

Source: Nepal Journal of Mathematical Sciences

DOI: 10.3126/njmathsci.v6i1.77378

Author: Nabaraj Adhikari

Institution: Tribhuvan University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409685565

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