TY - JOUR
TI - On Common Fixed Point for Contractive Mappings in $p$-Pompeiu-Hausdorff Metric Spaces
PY - 2024/04/30
Y2 - 2024/08/05
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 17
IS - 2
DO - 10.29020/nybg.ejpam.v17i2.5152
UR - https://doi.org/10.29020/nybg.ejpam.v17i2.5152
SP - 996-1008
AB - 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.
ER -