Results 1 to 10 of about 178 (66)
Abstract and Applied AnalysisMSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
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Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
Fixed Point Theory and Applications, 2011 In this paper, we suggest a hybrid method for finding a common element of the set of solution of a monotone, Lipschitz-continuous variational inequality problem and the set of common fixed points of an infinite family of nonexpansive mappings.
Liou Yeong-Cheng +3 more
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Nonlinear Fokker-Planck Equations with Time-Dependent Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2021 An operatorial based approach is used here to prove the existence and uniqueness of a strong solution $u$ to the time-varying nonlinear Fokker--Planck equation $u_t(t,x)-\Delta(a(t,x,u(t,x))u(t,x))+{\rm div}(b(t,x,u(t,x))u(t,x))=0$ in $(0,\infty)\times ...
V. Barbu, M. Röckner
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Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
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Generalized split null point of sum of monotone operators in Hilbert spaces
Demonstratio Mathematica, 2021 In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A. +4 more
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p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection
Nonautonomous Dynamical Systems, 2023 This article establishes the existence of a weak solution for a class of p(x)p\left(x)-Kirchhoff-type problem under no-flux boundary conditions with a reaction term depending also on the gradient convection. The proof of the main result is constructed by
Yacini Soukaina +3 more
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Demonstratio Mathematica, 2022 The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong +2 more
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On a version of hybrid existence result for a system of nonlinear equations
Advanced Nonlinear Studies, 2023 By combining monotonicity theory related to the parametric version of the Browder-Minty theorem with fixed point arguments, hybrid existence results for a system of two operator equations are obtained. Applications are given to a system of boundary value
Bełdziński Michał +2 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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A new iteration method for the solution of third-order BVP via Green's function
Demonstratio Mathematica, 2021 In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence.
Akgun Fatma Aydın, Rasulov Zaur
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