Analysis reveals fixed point results for hardy and rogers mappings in bipolar metric spaces, indicating applications in integral equations.
Several fixed point results of mappings on bipolar metric space have been discussed in the literature, and this has become an interesting area to many researchers because of its theoretical tool to allow diverse uses in various disciplines, such as biology, game theory, engineering and so on,. In this paper, we make further extension of some existing mappings in the literature to bipolar metric space and also introduce Hardy and Roger mappings on bipolar metric spaces with applications to integral equations. The results obtain generalized and complements some existing works in literature.
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Olaleru et al. (2025) studied this question.
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