Mathematics, 2019 We consider the split feasibility problem in Hilbert spaces when the hard constraint is common solutions of zeros of the sum of monotone operators and fixed point sets of a finite family of nonexpansive mappings, while the soft constraint is the inverse ...
Suthep Suantai +2 more
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A Modified Regularization Method for the Proximal Point Algorithm
Journal of Applied Mathematics, 2012 Under some weaker conditions, we prove the strong convergence of the sequence generated by a modified regularization method of finding a zero for a maximal monotone operator in a Hilbert space. In addition, an example is also given in order to illustrate
Shuang Wang
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Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems
Abstract and Applied Analysis, 2004 In the case of K≠D(A)¯, we study Cauchy problems and periodic problems for nonlinear evolution equation u(t)∈K, u′(t)+Au(t)∋f(t,u(t)), 0≤t≤T, where A isa maximal monotone operator on a Hilbert space H, K is a closed, convex subset of H, V is a subspace ...
Norimichi Hirano, Naoki Shioji
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Abstract and Applied Analysis, 2012 We introduce a new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, zero set of the sum of a maximal monotone operators and inverse-strongly monotone mappings, and the set of ...
Pongsakorn Sunthrayuth, Poom Kumam
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Two step inertial Tseng method for solving monotone variational inclusion problem
Results in Applied MathematicsIn this paper, we examine the monotone variational inclusion problem with a maximal monotone operator and a Lipschitz continuous monotone operator. We propose two different iterative algorithms for solving the monotone variational inclusion problem ...
Lehlogonolo Mokaba +2 more
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On the Range of a Coercive Maximal Monotone Operator in a Nonreflexive Banach Space [PDF]
, 1972 Jean–Pierre Gossez
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An innovative inertial extra-proximal gradient algorithm for solving convex optimization problems with application to image and signal processing. [PDF]
Heliyon, 2023 Olilima J +5 more
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Correction to “perturbations of regularizing maximal monotone operators” and a note on injectiveness [PDF]
, 1984 Eric Schechter
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The Solvability of a New System of Nonlinear Variational-Like Inclusions
Fixed Point Theory and Applications, 2009 We introduce and study a new system of nonlinear variational-like inclusions involving - -maximal monotone operators, strongly monotone operators, -strongly monotone operators, relaxed monotone operators, cocoercive operators, -relaxed cocoercive ...
Ume JeongSheok +3 more
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New results in the perturbation theory of maximal monotone and $M$-accretive operators in Banach spaces [PDF]
, 1996 Athanassios G. Kartsatos
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