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Let ((X,d)) be a complete quasi-metric space and (T:Xto X) be a continuous generalized α-Meir-Keeler contraction of type (II).
Let ((X,d)) be a complete quasi-metric space and (T:Xto X) be a continuous generalized α-Meir-Keeler contraction of type (I).
Let E be real Banach space, let C be a nonempty closed convex subset of E, and let T : C → C be a continuous generalized Φ-pseudocontractive mapping.
Let ((X,G)) be a complete G-metric space and (T:Xto X) be a continuous, generalized β-Meir-Keeler contraction of type (I) or (II).
Theorem 3.4 Let C be a nonempty closed convex subset of a complete CAT 0) space X and T : C → C be a continuous generalized asymptotically nonexpansive mapping.
Let ((E,VertcdotVert)) be a separable Banach space and (T Omegatimes Erightarrow E) be a continuous generalized random φ-contractive type operator with (F(T neqemptyset).
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f is a continuous generalized (mathcal{P} -contraction w.r.t.
T is a continuous generalized proximal contraction of the second kind.
Let T: A → B satisfy the following conditions: (a) T is a continuous generalized proximal contraction of the second kind.
Define a map (f A rightarrow B) satisfying the following conditions: 1. f is a continuous generalized (mathcal{P} -contraction w.r.t.
They also proved that if instead, A is approximatively compact with respect to B, and T is a continuous generalized proximal contraction mapping of the second kind, then T has a best proximity point ([14], Theorem 3.4).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com