On Common Fixed Point for Contractive Mappings in $p$-Pompeiu-Hausdorff Metric Spaces
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i2.5152Keywords:
common fixed point, set-valued mappings, contractive mappings, partial metric spaces, $p$-Pompeiu-Hausdorff Metric SpacesAbstract
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.
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