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Fixed point theory in the setting of $(\alpha,\beta,\psi,\phi)$-interpolative contractions
2021
Advances in Difference Equations
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AbstractIn this manuscript we introduce the notion of $(\alpha,\beta,\psi,\phi)$ ( α , β , ψ , ϕ ) -interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative contractions, and ample spectrum contraction. We investigate the necessary and sufficient conditions to guarantee existence and uniqueness of the fixed point of such mappings.
doi:10.1186/s13662-021-03491-w
fatcat:hktsgehhmnd6dmjyihpklwjpkm