TITLE:
A Common Fixed Point Theorem for Two Pairs of Mappings in Dislocated Metric Space
AUTHORS:
Dinesh Panthi, Kanhaiya Jha, Pavan Kumar Jha, P. Sumati Kumari
KEYWORDS:
d-Metric Space, Common Fixed Point, Weakly Compatible, Contractive Modulus, Cauchy Sequence
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.5 No.2,
May
25,
2015
ABSTRACT: Dislocated metric space differs from metric space for a property that self distance of a point needs not to be equal to zero. This property plays an important role to deal with the problems of various disciplines to obtain fixed point results. In this article, we establish a common fixed point theorem for two pairs of weakly compatible mappings which generalize and extend the result of Brain Fisher [1] in the setting of dislocated metric space with replacement of contractive constant by contractive modulus for which continuity of mappings is not necessary and compatible mappings by weakly compatible mappings.