A class of nonlinear mixed ordered inclusion problems for ordered (αA,λ)-ANODM set-valued mappings with strong comparison mapping A [PDF]
Fixed Point Theory and Applications, 2014 The purpose of this paper is to introduce and study a new class of nonlinear mixed ordered inclusion problems in ordered Banach spaces and to obtain an existence theorem and a comparability theorem of the resolvent operator. Further, by using fixed point
Hong Li, Li Li, Mao Jin
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A system of nonlinear set valued variational inclusions. [PDF]
Springerplus, 2014 In this paper, we studied the existence theorems and techniques for finding the solutions of a system of nonlinear set valued variational inclusions in Hilbert spaces.
Tang YK, Chang SS, Salahuddin S.
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A variational approach to dissipative SPDEs with singular drift [PDF]
, 2017 We prove global well-posedness for a class of dissipative semilinear stochastic evolution equations with singular drift and multiplicative Wiener noise. In particular, the nonlinear term in the drift is the superposition operator associated to a maximal ...
Marinelli, Carlo, Scarpa, Luca
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GNM ordered variational inequality system with ordered Lipschitz continuous mappings in an ordered Banach space [PDF]
, 2013 The main purpose of this paper is to introduce and study a new class of generalized nonlinear mixed ordered variational inequalities systems with ordered Lipschitz continuous mappings in ordered Banach spaces.
Dong Qiu, Hong-Gang Li, Maoming Jin
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An algorithm for finding common solutions of various problems in nonlinear operator theory [PDF]
Fixed Point Theory and Applications, 2014 In this paper, it is our aim to prove strong convergence of a new iterative algorithm to a common element of the set of solutions of a finite family of classical equilibrium problems; a common set of zeros of a finite family of inverse strongly monotone ...
Eric U Ofoedu +3 more
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Weak and strong convergence theorems for common zeros of accretive operators [PDF]
Journal of Inequalities and Applications, 2014 In this paper, we propose two proximal point algorithms for investigating common zeros of a family of accretive operators. Weak and strong convergence of the two algorithms are obtained in a Banach space. MSC:47H06, 47H09, 47J25.
Shenghua Wang, Tian Li
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Some results on Rockafellar-type iterative algorithms for zeros of accretive operators [PDF]
, 2013 We provide a new proof technique to obtain strong convergence of the sequences generated by viscosity iterative methods for a Rockafellar-type iterative algorithm and a Halpern-type iterative algorithm to a zero of an accretive operator in Banach spaces.
Jong Jung
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Strong convergence theorems for nonlinear operator equations with total quasi-ϕ-asymptotically nonexpansive mappings and applications [PDF]
, 2012 The purpose of this article is first to introduce the concept of total quasi-ϕ-asymptotically nonexpansive mapping which contains many kinds of mappings as its special cases, and then by using the hybrid algorithm to introduce a new iterative scheme for ...
Lin Wang +4 more
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Demonstratio Mathematica, 2021 The aim of this paper is to propose two new modified extragradient methods to solve the pseudo-monotone equilibrium problem in a real Hilbert space with the Lipschitz-type condition.
Pakkaranang Nuttapol +2 more
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Demonstratio Mathematica, 2022 In this paper, we propose and study a new inertial iterative algorithm with self-adaptive step size for approximating a common solution of finite family of split monotone variational inclusion problems and fixed point problem of a nonexpansive mapping ...
Ogwo Grace N. +2 more
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