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1. Full Text Radius Theorems for Monotone Mappings
by Dontchev, A L and Dontchev, A L and Eberhard, A and Eberhard, A and Rockafellar, R T and Rockafellar, R T
Set-valued and variational analysis, ISSN 1877-0533, 9/2019, Volume 27, Issue 3, pp. 605 - 621
Monotone mappings | Second-order sufficient optimality condition | Maximal monotone | Mathematics | Radius theorem | Optimization | 90C31 | 49J53 | Locally monotone | Analysis | 47H05 | Newton method | Optimization problem | Physical Sciences | Mathematics, Applied | Science & Technology | Lower bounds | Theorems | Newton methods | Infimum | Mapping | Hilbert space
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2. Full Text Strong Convergence Theorems for Maximal Monotone Operators with Nonlinear Mappings in Hilbert Spaces
by Takahashi, S and Takahashi, W and Toyoda, M
Journal of optimization theory and applications, ISSN 0022-3239, 2010, Volume 147, Issue 1, pp. 27 - 41
Maximal monotone operator | Equilibrium problem | Iteration procedure | Inverse strongly-monotone mapping | Nonexpansive mapping | Fixed point | Operations Research & Management Science | Physical Sciences | Mathematics | Mathematics, Applied | Technology | Science & Technology | Mathematical analysis | Operator theory | Exact sciences and technology | Sciences and techniques of general use | Analysis | Universities and colleges | Studies | Mapping | Optimization | Operators | Theorems | Nonlinearity | Hilbert space | Mathematical models | Convergence
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3. Full Text Convergence analysis of an iterative algorithm for monotone operators
by Cho, Sun Young and Li, Wenling and Kang, Shin Min
Journal of inequalities and applications, ISSN 1025-5834, 12/2013, Volume 2013, Issue 1, pp. 1 - 14
maximal monotone operator | strictly pseudocontractive mapping | inverse-strongly monotone mapping | fixed point | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | resolvent | Inverse-strongly monotone mapping | Maximal monotone operator | Strictly pseudocontractive mapping | Resolvent | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology
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4. The split common null point problem for maximal monotone mappings in hilbert spaces and applications
by Alsulami, Saud M and Takahashi, Wataru
Journal of nonlinear and convex analysis, ISSN 1345-4773, 2014, Volume 15, Issue 4, pp. 793 - 808
Inverse-strongly monotone mapping | Maximal monotone operator | Resolvent | Equilibrium problem | Iteration procedure | Fixed point | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
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5. Full Text New monotone hybrid algorithm for hemi-relatively nonexpansive mappings and maximal monotone operators
by Su, Yongfu and Li, Mengqin and Zhang, Hong
Applied mathematics and computation, ISSN 0096-3003, 02/2011, Volume 217, Issue 12, pp. 5458 - 5465
Hemi-relatively nonexpansive mapping | Maximal monotone operator | Cauchy sequence | Monotone hybrid algorithm | Generalized projection | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis. Scientific computation | Numerical analysis | Mathematical analysis | Global analysis, analysis on manifolds | Exact sciences and technology | Functional analysis | Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds | Sciences and techniques of general use | Theorems | Algorithms | Approximation | Mapping | Banach space | Iterative methods | Convergence
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6. Full Text On the convergence of solutions of inclusions containing maximal monotone and generalized pseudomonotone mappings
by Le, Vy Khoi
Nonlinear analysis, ISSN 0362-546X, 09/2016, Volume 143, pp. 64 - 88
Multivalued mapping | Maximal monotone mapping | Mapping of class [formula omitted] | Generalized pseudomonotone mapping | Mapping of class (S) | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Nonlinearity | Mapping | Banach space | Inclusions | Convergence
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7. Full Text New construction and proof techniques of projection algorithm for countable maximal monotone mappings and weakly relatively non-expansive mappings in a Banach space
by Wei, Li and Agarwal, Ravi P
Journal of inequalities and applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 20
Maximal monotone mapping | 47H10 | Analysis | 47H09 | Mathematics, general | Projection | Limit of a sequence of sets | Mathematics | Uniformly convex and uniformly smooth Banach space | Applications of Mathematics | 47H05 | Weakly relatively non-expansive mapping | Physical Sciences | Mathematics, Applied | Science & Technology | Algorithms | Visual Basic | Computation | Iterative algorithms | Banach spaces | Visual programming languages | Iterative methods | Banach space | Research
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8. Full Text The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone
by Yao, Liangjin
Nonlinear analysis, ISSN 0362-546X, 2011, Volume 74, Issue 17, pp. 6144 - 6152
Monotone operator of type (FPV) | Constraint qualification | Convex set | Fitzpatrick function | Subdifferential operator | Convex function | Maximal monotone operator | Monotone operator | Duality mapping | Linear relation | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Geometry | Mathematical analysis | Convex and discrete geometry | Exact sciences and technology | Sciences and techniques of general use | Nonlinearity | Operators | Images | Proving
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9. Full Text Strong Convergence Theorems for Maximal and Inverse-Strongly Monotone Mappings in Hilbert Spaces and Applications
by Takahashi, W and Takahashi, W
Journal of optimization theory and applications, ISSN 0022-3239, 6/2013, Volume 157, Issue 3, pp. 781 - 802
Mathematics | Theory of Computation | Maximal monotone operator | Optimization | Resolvent | Equilibrium problem | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Inverse-strongly monotone mapping | Strict pseudo-contraction | Applications of Mathematics | Engineering, general | Fixed point | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Studies | Mapping | Analysis | Operators | Theorems | Inequalities | Nonlinearity | Hilbert space | Convergence
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10. Full Text Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings
by Kazmi, K R and Kazmi, K R and Ali, Rehan and Ali, Rehan and Furkan, Mohd and Furkan, Mohd
Numerical algorithms, ISSN 1017-1398, 10/2018, Volume 79, Issue 2, pp. 499 - 527
Hybrid iterative method | Strong convergence | Maximal monotone operators | Numeric Computing | Theory of Computation | Split monotone variational inclusion problem | Nonexpansive mapping | Algorithms | Algebra | Numerical Analysis | 49J40 | 90C99 | Computer Science | 47H09 | Hierarchical fixed point problem | 47J25 | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Islamic schools | Methods | Iterative methods | Hilbert space
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11. Full Text A general iterative algorithm for monotone operators with λ-hybrid mappings in Hilbert spaces
by Hong, Chung-Chien
Journal of inequalities and applications, ISSN 1025-5834, 12/2014, Volume 2014, Issue 1, pp. 1 - 17
maximal monotone operator | inverse-strongly monotone mapping | fixed point | Analysis | equilibrium problem | Mathematics, general | Mathematics | variational inequality | Applications of Mathematics | resolvent | Inverse-strongly monotone mapping | Maximal monotone operator | Resolvent | Equilibrium problem | Variational inequality | Fixed point | Physical Sciences | Mathematics, Applied | Science & Technology | Operators (mathematics) | Operators | Theorems | Approximation | Inequalities | Hilbert space | Mapping | Convergence
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12. Full Text Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings
by Petrot, Narin and Suwannaprapa, Montira and Dadashi, Vahid
Journal of inequalities and applications, ISSN 1025-5834, 12/2018, Volume 2018, Issue 1, pp. 1 - 24
54A20 | Analysis | Inverse strongly monotone operator | Mathematics, general | Mathematics | Maximal monotone operator | Applications of Mathematics | Resolvent operator | 26A18 | 47H04 | Convex feasibility problems | Physical Sciences | Mathematics, Applied | Science & Technology | Operators | Theorems | Fixed points (mathematics) | Iterative algorithms | Feasibility | Hilbert space | Convergence | Research
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13. Full Text Sensitivity analysis for generalized strongly monotone variational inclusions based on the ( A , η ) -resolvent operator technique
by Verma, R.U
Applied mathematics letters, ISSN 0893-9659, 2006, Volume 19, Issue 12, pp. 1409 - 1413
Sensitivity analysis | Quasivariational inclusions | Generalized resolvent operator technique | Maximal relaxed monotone mapping | [formula omitted]-monotone mapping | (A, η)-monotone mapping | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Calculus of variations and optimal control | Mathematical analysis | Operator theory | Exact sciences and technology | Sciences and techniques of general use
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14. Full Text Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging
by Rockafellar, R Tyrrell and Rockafellar, R Tyrrell and Sun, Jie and Sun, Jie
Mathematical programming, ISSN 0025-5610, 3/2019, Volume 174, Issue 1, pp. 453 - 471
Progressive hedging algorithm | Theoretical, Mathematical and Computational Physics | Mathematics | 90C15 | Proximal point algorithm | Stochastic variational inequality problems | Mathematical Methods in Physics | 49J20 | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | Numerical Analysis | Maximal monotone mappings | Stochastic programming problems | Stochastic complementarity problems | Combinatorics | 47H05 | Problem decomposition | Operations Research & Management Science | Physical Sciences | Technology | Computer Science | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Hedging (Finance) | Algorithms | Multistage | Convexity | Nonlinear programming | Portfolio management
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15. Full Text Anti-periodic solutions for evolution equations associated with maximal monotone mappings
by Chen, Yuqing and Nieto, Juan J and O’Regan, Donal
Applied mathematics letters, ISSN 0893-9659, 2011, Volume 24, Issue 3, pp. 302 - 307
Evolution equation | Anti-periodic solution | Periodic solution | Maximal monotone map | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Numerical analysis. Scientific computation | Numerical analysis | Mathematical analysis | Global analysis, analysis on manifolds | Exact sciences and technology | Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds | Sciences and techniques of general use | Nonlinearity | Evolution | Mapping | Inclusions
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16. Full Text General Class of Implicit Variational Inclusions and Graph Convergence on A-Maximal Relaxed Monotonicity
by Verma, Ram U
Journal of optimization theory and applications, ISSN 0022-3239, 10/2012, Volume 155, Issue 1, pp. 196 - 214
Maximal monotone mapping | Graph convergence of mappings | Mathematics | Theory of Computation | Classical resolvent | Generalized resolvent operator | Optimization | A -monotone mappings | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Variational inclusions | A -maximal ( m )-relaxed monotone mappings | Applications of Mathematics | Engineering, general | A -maximal monotone mapping | A-monotone mappings | A-maximal monotone mapping | A-maximal (m)-relaxed monotone mappings | Operations Research & Management Science | Physical Sciences | Mathematics, Applied | Technology | Science & Technology | Studies | Mapping | Models | Convergence | Operators | Series (mathematics) | Nonlinearity | Graphs | Mathematical models | Inclusions
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