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The completed gauge should make clear to the viewer how the focus area has changed over the three years.
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Then is an ordered and complete gauge space.
Also, ((X,mathcal{T}(mathcal{F}))) is a complete gauge space.
Let X be a complete gauge structure ({d_{n}mid n inmathbb{N} }) satisfying condition (1).
Let be an ordered complete gauge space and be an operator.
Theorem 3.2 Let ( X, ℱ, ≼ ) be an ordered complete gauge space satisfying the assumption (H).
Let X be endowed with a complete gauge structure ({d_{n}mid n in mathbb{N} }) satisfying condition (1).
First, we state the extension of Theorems 3.3 and 3.5 for a cyclic mapping and a complete gauge structure.
In this section, we adapt the ideas in [25] to get further theorems in complete gauge spaces.
Theorem 3.3 Let ( X, ℱ, ≼ ) be an ordered complete gauge space and f : X → X be a nondecreasing mapping.
The aim of this paper is to present some fixed-point theorems for -contractions on ordered and complete gauge space.
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