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Metric fixed point theory is a branch of fixed point theory concerning methods and results that involve properties of an isometric nature.
Hence the fixed point theory in such spaces may be a consequence of the fixed point theory in certain metric spaces.
This difficulty can be avoided by applying fixed point theory.
We have used fixed point theory in vector metric spaces.
Metric fixed point theory has primary applications in functional analysis.
Closely related to fixed point theory is coincidence theory.
These applications elicit the significance of fixed point theory.
To do this we use fixed point theory.
In particular, we state fixed point theory in cones.
The existence of solutions is deduced from fixed point theory.
In fixed point theory, almost all maps are self-mappings.
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