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(b) For the mappings, we extend the mappings from a nonexpansive mapping, a relatively nonexpansive mapping, a weakly relatively nonexpansive mapping, a quasi-ϕ-nonexpansive mapping or a quasi-ϕ-asymptotically nonexpansive mapping to a total quasi-ϕ-asymptotically nonexpansive mapping.

The final iteration process investigated in [6] consists of three forcing terms, namely, a contraction on, an asymptotically nonexpansive Lipschitzian mapping taking values in a left reversible semigroup of mappings from a subset of that of bounded functions on its dual.

The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a hemicontinuous monotone mapping and for a finite family of -inverse strongly monotone mappings from a closed convex subset of a Hilbert space into.

Let S and T be mappings from a normed space E into itself.

Let be a family of mappings from a subset of a Banach space into with.

Let A and S be two mappings from a metric space (X, d) into itself.

(2) Hemicontinuous monotone mappings from a Banach space X into X ∗ are pseudo-monotone.

Definition 4.2 Let S and T be mappings from a normed space E into itself.

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[16] Let f and g be mappings from an intuitionistic fuzzy metric space ( X, ℳ M, N, T ) into itself.

Let f and g be mappings from an intuitionistic fuzzy metric space ( X, ℳ M, N, T ) into itself.

To derive integrability criteria for step mappings and for right regulated mappings from an interval of R ∪ to a Banach space.

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