A correction for a result on convergence of Ishikawa iteration for strongly pseudocontractive maps [PDF]
, 2002 We give a correction to the main result from [13]
Ş. M. Şolutuz
core
, 2014 In this paper, a new class of general set-valued parametric ordered variational inclusions, θ∈M(x,g(x,ρ),ρ), with (α,λ)-NODSM mappings is studied in ordered Banach spaces. Then, by using fixed point theory and the resolvent operator associated with (α,λ)-
Hong Gang Li +3 more
semanticscholar +1 more source
Mann iteration for generalized pseudocontractive maps in Hilbert spaces [PDF]
, 2001 If X is a real Hilbert space, B is a nonempty, bounded, convex and closed subset, T:B→ B is a generalized pseudocontraction; then the iteration begin{eqnarray} x_{1} &in &B, \ x_{n+1} &=&(1-alpha _{n})x_{n}+alpha _{n}Tx_{n}, nonumber \ (alpha _{n})_{n} &
Ş. M. Şoltuz
core
Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces [PDF]
Fixed Point Theory and Applications, 2013 In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x∗ of a finite family of strictly pseudocontractive mappings, which solve the variational inequality 〈(γf−μG)x∗,jq(x−x∗)〉≤0,∀x∈⋂i=1NF(Ti), where f is a contraction ...
Abba Auwalu, L. Mohammed, Afis Saliu
semanticscholar +1 more source
Convergence of Ishikawa iterative sequence for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
, 2010 Under the condition of removing the restriction any bounded, we give the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach space.
Shuyi Zhang
core +1 more source
Best proximity points for generalized multivalued contractions in metric spaces
, 2015 In the present paper, we prove a best proximity point theorem for multivalued nonself-contractive type mappings which is a generalization of recent best proximity point theorems and some famous fixed point theorems.
E. Nazari
semanticscholar +1 more source
Stability of Mann and Ishikawa iterative processes with errors for a class of nonlinear variational inclusions [PDF]
, 2004 Under the lack of the condition , some new convergence and stability theorems of Mann and Ishikawa iterative processes with errors for solutions to variational inclusions involving accretive mappings in real reflexive Banach spaces are established.
F. Gu, J. Lu
core
A modified Mann iteration for zero points of accretive operators
, 2013 A modified Mann iteration with computational errors is investigated. A strong convergence theorem for zero points of an m-accretive operator is established in a Banach space.MSC:47H06, 47H09, 47J25, 65J15.
Jianmin Song, Minjiang Chen
semanticscholar +1 more source
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces [PDF]
, 2006 We consider a nonlinear Volterra integral equation governed by an m-accretive operator and a multivalued perturbation in a separable Banach. The existence of a continuous selection for the corresponding solution map is proved.
Aizicovici, S., Staicu, Vasile
core +1 more source
Quantum dynamical semigroups for diffusion models with Hartree interaction
, 2004 We consider a class of evolution equations in Lindblad form, which model the dynamics of dissipative quantum mechanical systems with mean-field interaction. Particularly, this class includes the so-called Quantum Fokker-Planck-Poisson model.
A. Arnold +31 more
core +1 more source