H(⋅,⋅)-Cocoercive Operator and an Application for Solving Generalized Variational Inclusions [PDF]
Abstract and Applied Analysis, 2011 The purpose of this paper is to introduce a new H(⋅,⋅)-cocoercive operator, which generalizes many existing monotone operators. The resolvent operator associated with H(⋅,⋅)-cocoercive operator is defined, and its Lipschitz continuity is presented.
Rais Ahmad +3 more
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Approximation solution for system of generalized ordered variational inclusions with ⊕ operator in ordered Banach space [PDF]
Journal of Inequalities and Applications, 2017 The resolvent operator approach is applied to address a system of generalized ordered variational inclusions with ⊕ operator in real ordered Banach space. With the help of the resolvent operator technique, Li et al. (J. Inequal. Appl.
Mohd. Sarfaraz, MK Ahmad, A Kılıçman
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ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR [PDF]
Вестник Донского государственного технического университета, 2018 In the article is given representation of the resolvent for generalized differential operator with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
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Strong Convergence of Iterative Algorithm for a New System of Generalized H·,·-η-Cocoercive Operator Inclusions in Banach Spaces [PDF]
Abstract and Applied Analysis, 2013 We introduce and study a new system of generalized H·,·-η-cocoercive operator inclusions in Banach spaces. Using the resolvent operator technique associated with H·,·-η-cocoercive operators, we suggest and analyze a new generalized algorithm of nonlinear
Saud M. Alsulami +2 more
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On the adjoint of a symmetric operator [PDF]
, 2007 In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S. +47 more
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Schrödinger operators with δ and δ′-potentials supported on hypersurfaces [PDF]
, 2013 Self-adjoint Schrödinger operators with δ and δ′-potentials supported on a smooth compact hypersurface are defined explicitly via boundary conditions.
Lotoreichik, Vladimir +2 more
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Overdetermined partial resolvent kernel for generalized cylinders [PDF]
, 2021 Overdetermined partial boundary value problems are those where no data are prescribed onpart of the boundary, whereas both the values of the function and of its normal derivative aregiven on another part of the boundary.
Carmona Mejías, Ángeles +1 more
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A note on generalized resolvents for ordinary differential operators [PDF]
Proceedings of the American Mathematical Society, 1976 We give an explicit construction for the kernel of an arbitrary generalized resolvent for an ordinary symmetric differential operator. In particular, this avoids the use of approximation of selfadjoint operators on compact intervals. We also discuss integrability of functions which are adjoint to certain fundamental solutions.
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Wronskians, dualities and FZZT-Cardy branes
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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Sensitivity analysis for generalized strongly monotone variational inclusions based on the (A,η)-resolvent operator technique [PDF]
, 2006 Sensitivity analysis for generalized strongly monotone variational inclusions based on the (A,η)-resolvent operator technique is investigated.
Verma, R.U., R.U. Verma
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