COMMON COUPLED FIXED POINT THEOREM UNDER WEAK ψ − ϕ CONTRACTION FOR HYBRID PAIR OF MAPPINGS WITH APPLICATION
| Autor: | Deshpande, Bhavana, Handa, Amrish, Mishra, Lakshmi Narayan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
weak ψ − ϕ contraction
W−compatibility lcsh:T57-57.97 lcsh:Mathematics Metric-spaces w-compatibility Coupled coincidence point F−weakly commuting mappings lcsh:QA1-939 Coupled fixed point Coupled fixed point coupled coincidence point weak ψ − ϕ contraction w-compatibility F-weakly commuting mappings coupled coincidence point Weak ψ − ϕ contraction lcsh:Applied mathematics. Quantitative methods |
| Zdroj: | TWMS Journal of Applied and Engineering Mathematics, Vol 7, Iss 1, Pp 7-24 (2017) Volume: 7, Issue: 1 7-24 TWMS Journal of Applied and Engineering Mathematics |
| ISSN: | 2146-1147 2587-1013 |
| Popis: | 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. Publisher's Version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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