Title of article
COMMON COUPLED FIXED POINT THEOREM UNDER WEAK ψ − ϕ CONTRACTION FOR HYBRID PAIR OF MAPPINGS WITH APPLICATION
Author/Authors
DESHPANDE, BHAVANA Department of Mathematics - Govt. B.S. P.G. College - Jaora, Dist. Ratlam (M.P.), India , HANDA, AMRISH Department of Mathematics - Govt. P. G. Arts & Science College - Ratlam (M. P.) India , NARAYAN MISHRA, LAKSHMI Department of Mathematics - National Institute of Technology - Silchar-788 010 - Cachar (Assam), India
Pages
18
From page
7
To page
24
Abstract
We establish a common coupled fixed point theorem for hybrid pair of mappings under weak ψ − ϕ contraction on a non-complete metric space, which is not
partially ordered. It is to be noted that to find coupled coincidence point, we do not employ the condition of continuity of any mapping involved therein. Moreover, an example
and an application to integral equations are given here to illustrate the usability of the
obtained results. We improve, extend, and generalize several known results.
Keywords
Coupled fixed point , coupled coincidence point , weak ψ − ϕ contraction , w−compatibility , F−weakly commuting mappings
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2017
Record number
2581090
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