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FIXED POINT RESULTS IN PARTIALLY ORDERED $p$-POMPEIU-HAUSDORFF METRIC SPACES
Keywords:
set-valued mapping, fixed point, partially ordered p-Pompeiu- Hausdorff metric spacesDOI:
https://doi.org/10.17654/0972087126031Abstract
In this paper, we introduce a relation between sets that defines a partial order. Based on this relation, we construct a partially ordered $p$-Pompeiu-Hausdorff metric space. By using this partial order on we establish the existence of fixed points for set-valued mappings in partially ordered $p$-Pompeiu-Hausdorff metric spaces. Furthermore, the existence of common fixed points for such mappings is demonstrated through the use of a generalized contraction condition.
Received: October 31, 2025
Accepted: December 13, 2025
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