What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Hilbert space
- Mathematical optimization
Jen-Chih Yao focuses on Mathematical analysis, Applied mathematics, Variational inequality, Fixed point and Pure mathematics. His Banach space, Sequence and Fixed-point theorem study in the realm of Mathematical analysis connects with subjects such as Vector optimization. His Applied mathematics research includes themes of Theory of computation, Convex analysis, Nash equilibrium and Nonlinear system.
His work in the fields of Variational inequality, such as Fixed point problem, overlaps with other areas such as Complementarity theory. His Fixed point research is multidisciplinary, incorporating perspectives in Discrete mathematics, Scheme, Hilbert space and Iterative method, Mathematical optimization. As a part of the same scientific family, Jen-Chih Yao mostly works in the field of Pure mathematics, focusing on Monotonic function and, on occasion, Algebraic number and Regularization.
His most cited work include:
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems (294 citations)
- STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS (200 citations)
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities (189 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Variational inequality, Applied mathematics, Mathematical analysis, Fixed point and Banach space. His research integrates issues of Solution set and Lipschitz continuity in his study of Variational inequality. His biological study spans a wide range of topics, including Theory of computation, Inequality and Nonlinear system.
His Mathematical analysis study frequently links to related topics such as Combinatorics. The Fixed point study combines topics in areas such as Discrete mathematics, Fixed-point theorem, Hilbert space, Iterative method and Differential geometry. His Banach space research incorporates themes from Differentiable function, Class, Sequence and Monotonic function.
He most often published in these fields:
- Variational inequality (42.14%)
- Applied mathematics (41.71%)
- Mathematical analysis (37.57%)
What were the highlights of his more recent work (between 2019-2021)?
- Applied mathematics (41.71%)
- Variational inequality (42.14%)
- Pure mathematics (23.14%)
In recent papers he was focusing on the following fields of study:
Jen-Chih Yao mostly deals with Applied mathematics, Variational inequality, Pure mathematics, Hilbert space and Inertial frame of reference. His Applied mathematics study combines topics in areas such as Rate of convergence, Fixed point, Theory of computation and Optimal control. The concepts of his Fixed point study are interwoven with issues in Discrete mathematics, Metric space, Iterative method and Graph.
With his scientific publications, his incorporates both Variational inequality and Viscosity. His research in Pure mathematics is mostly focused on Banach space. His work deals with themes such as Projection, Feasible region, Weak convergence and Algorithm, Compressed sensing, which intersect with Hilbert space.
Between 2019 and 2021, his most popular works were:
- Nonsmooth variational inequalities on Hadamard manifolds (23 citations)
- Convergence rate analysis of proximal gradient methods with applications to composite minimization problems (12 citations)
- Weak and strong convergence of splitting algorithms in Banach spaces (12 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Mathematical optimization
- Algebra
His primary scientific interests are in Applied mathematics, Pure mathematics, Variational inequality, Banach space and Hadamard transform. His Applied mathematics study incorporates themes from Hölder condition and Boundary. In his study, Inequality, Initial value problem, Cauchy problem and Differential inclusion is strongly linked to Class, which falls under the umbrella field of Pure mathematics.
His research in Variational inequality intersects with topics in Structure and Separable space. Jen-Chih Yao has included themes like Noncommutative geometry, Penalty method, Fixed point and Nonlinear system in his Banach space study. In the field of Hadamard transform, his study on Hadamard manifold overlaps with subjects such as Viscosity.
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