Title of article :
COINCIDENCE and COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS
Author/Authors :
TOMAR, ANITA Department of Mathematics - Government P.G. College Dakpathar - Dehradun, India , UPADHYAY, SHIVANGI Department of Mathematics - Government P.G. College Dakpathar - Dehradun, India
Abstract :
The paper is aimed to generalize and improve the results of Bisht and
Shahzad [Faintly compatible mappings and common fixed points, fixed point theory
and applications, 2013, 2013:156]. The significance of this paper lies in the fact that
coincidence and common fixed point theorems under Ciri´c type contractive condition ´
via faint compatibility and conditional reciprocal continuity is established without using
continuity of even single map and containment requirement of the range space of involved
maps. Illustrative examples are furnished to highlight the realized improvement of our
results.
Keywords :
Coincidence point , conditional reciprocal continuity , common fixed point , faintly compatible
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
