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There is no doubt that fixed point theory for nonexpansive mappings is one of the central topics in modern analysis.
The class of nonexpansive mappings is one of the most important classes of mappings in nonlinear science.
The class of monotone mappings is one of the most important classes of mappings among nonlinear mappings.
The class of pseudocontractive mappings is one of the most important classes of mappings among nonlinear mappings.
Equivalently, M is maximal monotone if R(I + rM) = H for all r > 0. The class of monotone mappings is one of the most important classes of mappings.
Investigation of the existence and uniqueness of a fixed point of non-self mappings is one of the interesting subjects in fixed point theory.
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The mappings are one to one and such that for all positive integers and where denotes the th iterate of the mapping at.
Note that all these mappings are one to one and symmetric.
Among classes of nonlinear mappings, the class of pseudocontractions is one of the most important classes of mappings.
Mapping expression data into precompiled pathways is one way of obtaining direct biological or toxicological relevant information.
The composition of these two mappings is a differentiable one-to-one mapping from computational space onto the domains or surfaces and has a nonvanishing Jacobian.
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