FIXED POINT RESULTS IN PARTIALLY ORDERED p-POMPEIU-HAUSDORFF METRIC SPACES

Arta Ekayanti; Mohamad Muslikh; Sa’adatul Fitri

doi:10.17654/0972087126031

FIXED POINT RESULTS IN PARTIALLY ORDERED p-POMPEIU-HAUSDORFF METRIC SPACES

Arta Ekayanti^*
, Marjono
, Mohamad Muslikh
, Sa’adatul Fitri

^*Corresponding author for this work

Faculty of Mathematics and Natural Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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 CB^p (X), 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.

Original language	English
Pages (from-to)	527-548
Number of pages	22
Journal	Far East Journal of Mathematical Sciences
Volume	143
Issue number	2
DOIs	https://doi.org/10.17654/0972087126031
Publication status	Published - Feb 2026

Keywords

fixed point
partially ordered p-Pompeiu-Hausdorff metric spaces
set-valued mapping

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10.17654/0972087126031

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abstract = "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 CBp (X), 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.",

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author = "Arta Ekayanti and Marjono and Mohamad Muslikh and Sa{\textquoteright}adatul Fitri",

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KW - partially ordered p-Pompeiu-Hausdorff metric spaces

KW - set-valued mapping

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FIXED POINT RESULTS IN PARTIALLY ORDERED p-POMPEIU-HAUSDORFF METRIC SPACES

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