On Common Fixed Point for Contractive Mappings in $p$-Pompeiu-Hausdorff Metric Spaces

In this paper, we establish the existence of a common fixed point from a pair of set-valued mappings. By utilizing the concept of convergence of set-valued mappings' sequences, both ordinary and pointwise convergence, we establish a common fixed point theorem. This our newly result is a general...

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Bibliographic Details
Published inEuropean journal of pure and applied mathematics Vol. 17; no. 2; pp. 996 - 1008
Main Authors Ekayanti, Arta, Marjono, Marjono, Muslikh, Mohamad, Fitri, Sa'adatul
Format Journal Article
LanguageEnglish
Published 01.04.2024
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Summary:In this paper, we establish the existence of a common fixed point from a pair of set-valued mappings. By utilizing the concept of convergence of set-valued mappings' sequences, both ordinary and pointwise convergence, we establish a common fixed point theorem. This our newly result is a generalization of common fixed point theorem of set-valued mappings on partial metric spaces. Further, we establish newly common fixed point theorem under $\phi$-contraction on partial metric spaces.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v17i2.5152