Operators
=========

.. contents::
   :depth: 1
   :local:

Monotone
--------
.. autoclass:: PEPit.operators.MonotoneOperator
   :members:
   :show-inheritance:

Strongly monotone
-----------------
.. autoclass:: PEPit.operators.StronglyMonotoneOperator
   :members:
   :show-inheritance:

Lipschitz continuous
--------------------
.. autoclass:: PEPit.operators.LipschitzOperator
   :members:
   :show-inheritance:

Nonexpansive
------------
.. autoclass:: PEPit.operators.NonexpansiveOperator
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   :show-inheritance:

Strongly monotone and Lipschitz continuous (cheap version)
----------------------------------------------------------
.. autoclass:: PEPit.operators.LipschitzStronglyMonotoneOperatorCheap
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   :show-inheritance:

Strongly monotone and Lipschitz continuous (expensive version)
--------------------------------------------------------------
.. autoclass:: PEPit.operators.LipschitzStronglyMonotoneOperatorExpensive
   :members:
   :show-inheritance:

Cocoercive
----------
.. autoclass:: PEPit.operators.CocoerciveOperator
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Cocoercive and strongly monotone (cheap version)
------------------------------------------------
.. autoclass:: PEPit.operators.CocoerciveStronglyMonotoneOperatorCheap
   :members:
   :show-inheritance:

Cocoercive and strongly monotone (expensive version)
----------------------------------------------------
.. autoclass:: PEPit.operators.CocoerciveStronglyMonotoneOperatorExpensive
   :members:
   :show-inheritance:

Negatively comonotone
---------------------
.. autoclass:: PEPit.operators.NegativelyComonotoneOperator
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   :show-inheritance:

Linear Operator
---------------
.. autoclass:: PEPit.operators.LinearOperator
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Skew Symmetric Linear Operator
------------------------------
.. autoclass:: PEPit.operators.SkewSymmetricLinearOperator
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   :show-inheritance:

Symmetric Linear Operator
-------------------------
.. autoclass:: PEPit.operators.SymmetricLinearOperator
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   :show-inheritance: