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The reason for introducing these mappings was the fact that the problem of representing quadratic forms by sesquilinear ones is closely connected with the structure of Jordan ∗-derivations.
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An important class of mappings generalizing the class of nonexpansive mappings is the class of Lipschitz pseudocontractive maps.
Finding the roots of real valued monotonically increasing function mappings is the solution to a particular class of functional equation.
Closely related to the class of pseudocontractive mappings is the class of monotone mappings.
Closely related to the class of pseudocontractive mappings is the class of accretive mappings.
Another important generalization of the class of nonexpansive mappings is the class of pseudocontractive mappings.
The technique for penalizing those mappings is the same as in the second case. 5.
The first result for these mappings is the analog to Theorem 3.3.
The central fixed point result for pointwise contraction mappings is the following theorem [1, 2].
The fundamental fixed point result for pointwise contraction mappings is the following theorem.
The central fixed point result in the metric setting for such mappings is the following theorem.
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