Open AccessSome results on complex valued metric spaces employing an implicit relation with complex coefficients and its applications
Author(s) -
Fayyaz Rouzkard
Publication year - 2018
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v36i3.32977
Subject(s) - metric space , mathematics , coincidence point , coincidence , contraction (grammar) , relation (database) , pure mathematics , point (geometry) , space (punctuation) , metric (unit) , discrete mathematics , computer science , geometry , data mining , medicine , operations management , alternative medicine , pathology , economics , operating system
In this paper, we establish coincidence point and common fixed point theorems involving two pairs of weakly compatible mapping satisfying contraction condition with complex coefficient are proved in complex valued metric space. The presented theorems generalize, extend and improve many existing results in the literature. An example is given at the end of the paper