The phrase "arising in applied" is not correct and lacks clarity in written English.
It may be intended to refer to concepts or issues that emerge within the context of applied fields or practices, but it needs additional context to be meaningful.
Example: "The challenges arising in applied research often require innovative solutions."
Alternatives: "emerging in applied" or "occurring in applied".
Such a class of operators is important because they include many types of nonlinear operators arising in applied mathematics.
Many nonlinear problems arising in applied areas such as image recovery and signal processing are mathematically modeled as fixed or zero point problems.
Many nonlinear problems arising in applied areas such as image recovery, signal processing, and machine learning are mathematically modeled as a nonlinear operator equation and this operator is decomposed as the sum of two nonlinear operators.
Splitting algorithms have recently received much attention due to the fact that many nonlinear problems arising in applied areas such as image recovery, signal processing, and machine learning are mathematically modeled as a nonlinear operator equation and this operator is decomposed as the sum of two nonlinear operators; see, for example, [1 4] and the references therein.
Splitting methods are very important because many nonlinear problems arising in applied areas such as signal processing, machine learning and image recovery which mathematically modeled as a nonlinear operator equation which this operator can be consider as the sum of two nonlinear operators.
Splitting methods have recently received much attention due to the fact that many nonlinear problems arising in applied areas such as image recovery, signal processing, and machine learning are mathematically modeled as a nonlinear operator equation, and this operator is decomposed as the sum of two nonlinear operators.
The problem of finding a common fixed point of some nonlinear mappings acting on a nonempty convex domain often arises in applied mathematics.
Moreover, finding common fixed points of a finite family of mappings acting on a Hilbert space is a problem that often arises in applied mathematics, for instance, in convex minimization problems and systems of simultaneous equations.
The problem of finding a common fixed point of a finite family of nonlinear mappings acting on a nonempty convex domain often arises in applied mathematics, for instance, in convex minimization problems and systems of simultaneous equations.
Because the theory allows particles to interact with their own field quanta, mathematical difficulties arose in applying the theory.
Our analysis highlights some of the difficulties that arise in applying results from mechanism design to computational problems.
