Title of article :
USING IMPLICIT RELATION TO PROVE COMMON COUPLED FIXED POINT THEOREMS FOR TWO HYBRID PAIRS OF MAPPINGS
Author/Authors :
DESHPANDE, BHAVANA Department of Mathematics - Govt. P. G. Arts & Science College, Ratlam (M. P.) India , HANDA, AMRISH Department of Mathematics - Govt. P. G. Arts & Science College, Ratlam (M. P.) India , MALA, DEEP SQC & or Unit - Indian Statistical Institute - 203 B. T. Road - Kolkata, India
Abstract :
Using implicit relation we establish two common coupled fixed point theorems under the conditions of weakly commutativity and w−compatibility on a complete
metric space, which is not partially ordered. We do not use the condition of continuity
of any mapping for proving the existence of coupled coincidence and common coupled
fixed point.
Keywords :
Coupled fixed point , coupled coincidence point , implicit relation , w−compatibility , weakly commuting mappings
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
