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
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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
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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
Ishikawa iterative process for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
, 2003 In this note we give a correction to the main result of Zhou in [14] on the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach spaces.
J. S. Ume, Lj. Ćirić
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. B. Mohammed, Afis Saliu
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A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces [PDF]
, 1996 In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values.
Kravvaritis, D., Pantelidis, G.
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
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On the Ishikawa iterative approximation with mixed errors for solutions to variational inclusions with accretive type mappings in Banach spaces [PDF]
, 2003 Using the new analysis techniques, the existence and iterative approximation problem of a solution for a class of nonlinear variational inclusions with accretive type mappings are discussed in arbitrary Banach spaces.
G. Feng
core
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
Convergence and stability of Jungck-type iterative procedures in convex b-metric spaces
, 2013 The purpose of this paper is to investigate some strong convergence as well as stability results of some iterative procedures for a special class of mappings.
A. Razani, M. Bagherboum
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