Contractive mappings and periodically perturbed conservative systems
Displaying 41 – 60 of 107
Contribution a la théorie des équations non linéaires dans les espaces de Banach [Book]
Wiesław Krawcewicz (1988)
Controllability for variational inequalities of parabolic type with nonlinear perturbation.
Jeong, Jin-Mun, Ju, Eun Young, Lee, Kyeong Yeon (2010)
Journal of Inequalities and Applications [electronic only]
Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces.
Cholamjiak, Prasit, Suantai, Suthep (2010)
Abstract and Applied Analysis
Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions.
Cholamjiak, Prasit, Suantai, Suthep (2011)
Fixed Point Theory and Applications [electronic only]
Convergence analysis of a one-step intermediate Newton iterative scheme.
Uko, Livinus U., Velásquez Ossa, Raúl Eduardo (2001)
Revista Colombiana de Matemáticas
Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities.
Liu, Zeqing, An, Zhefu, Kang, Shin Min, Ume, Jeong Sheok (2004)
International Journal of Mathematics and Mathematical Sciences
Convergence comparison of several iteration algorithms for the common fixed point problems.
Song, Yisheng, Liu, Xiao (2009)
Fixed Point Theory and Applications [electronic only]
Convergence conditions for Secant-type methods
Ioannis K. Argyros, Said Hilout (2010)
Czechoslovak Mathematical Journal
We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier conditions...
Convergence domains under Zabrejko-Zinčenko conditions using recurrent functions
Ioannis K. Argyros, Saïd Hilout (2011)
Applicationes Mathematicae
We provide a semilocal convergence analysis for Newton-type methods using our idea of recurrent functions in a Banach space setting. We use Zabrejko-Zinčenko conditions. In particular, we show that the convergence domains given before can be extended under the same computational cost. Numerical examples are also provided to show that we can solve equations in cases not covered before.
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities.
Verma, Ram U. (2002)
Journal of Applied Mathematics and Stochastic Analysis
Convergence of a random iteration scheme to a random fixed point.
Choudhury, Binayak S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball.
Kimura, Yasunori (2010)
Abstract and Applied Analysis
Convergence of discretization procedures for problems whose entropy solutions are uniquely characterized by additional relations
Rainer Ansorge (2003)
Applications of Mathematics
Weak solutions of given problems are sometimes not necessarily unique. Relevant solutions are then picked out of the set of weak solutions by so-called entropy conditions. Connections between the original and the numerical entropy condition were often discussed in the particular case of scalar conservation laws, and also a general theory was presented in the literature for general scalar problems. The entropy conditions were realized by certain inequalities not generalizable to systems of equations...
Convergence of fixed point of asymptotically quasi-nonexpansive type mappings in convex metric space.
Saluja, Gurucharan Singh (2008)
The Journal of Nonlinear Sciences and its Applications
Convergence of functionals and its applications to parabolic equations.
Akagi, Goro (2004)
Abstract and Applied Analysis
Convergence of generalized-approximate iterations for an abstract equation
Tadeusz Jankowski (1971)
Annales Polonici Mathematici
Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces.
Fukhar-Ud-Din, Hafiz, Khan, Abdul Rahim (2005)
International Journal of Mathematics and Mathematical Sciences
Convergence of inexact iterative schemes for nonexpansive set-valued mappings.
Reich, Simeon, Zaslavski, Alexander J. (2010)
Fixed Point Theory and Applications [electronic only]
Convergence of Ishikawa iterates for a multi-valued mapping with a fixed point
K. P. R. Sastry, G. V. R. Babu (2005)
Czechoslovak Mathematical Journal
Existence of fixed points of multivalued mappings that satisfy a certain contractive condition was proved by N. Mizoguchi and W. Takahashi. An alternative proof of this theorem was given by Peter Z. Daffer and H. Kaneko. In the present paper, we give a simple proof of that theorem. Also, we define Mann and Ishikawa iterates for a multivalued map with a fixed point and prove that these iterates converge to a fixed point of under certain conditions. This fixed point may be different from...