The Experts below are selected from a list of 45 Experts worldwide ranked by ideXlab platform
Gang Eun Kim - One of the best experts on this subject based on the ideXlab platform.
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strong convergence to a fixed point of a total asymptotically nonexpansive mapping
Fixed Point Theory and Applications, 2013Co-Authors: Gang Eun KimAbstract:In this paper, we prove strong convergence for the modified Ishikawa iteration process of a total asymptotically nonexpansive mapping Satisfying Condition (A) in a real uniformly convex Banach space. Our result generalizes the results due to Rhoades (J. Math. Anal. Appl. 183:118-120, 1994).
Anchalee Kaewcharoen - One of the best experts on this subject based on the ideXlab platform.
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fixed point theorems for nonexpansive mappings and suzuki generalized nonexpansive mappings on a banach lattice
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Sompong Dhompongsa, Anchalee KaewcharoenAbstract:Abstract We prove the existence of fixed points for multivalued nonexpansive nonself-mappings on a weakly orthogonal reflexive Banach lattice with uniformly monotone norm. Moreover, for single-valued mappings, we extend Betiuk-Pilarska and Prus’s result [A. Betiuk-Pilarska, S. Prus, Banach lattices which are order uniformly noncreasy, J. Math. Anal. Appl. 342 (2008) 1271–1279] on the weak fixed point property to continuous mappings Satisfying Condition (C) on a w -weakly orthogonal OUNC Banach lattice.
Sompong Dhompongsa - One of the best experts on this subject based on the ideXlab platform.
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fixed point theorems for nonexpansive mappings and suzuki generalized nonexpansive mappings on a banach lattice
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Sompong Dhompongsa, Anchalee KaewcharoenAbstract:Abstract We prove the existence of fixed points for multivalued nonexpansive nonself-mappings on a weakly orthogonal reflexive Banach lattice with uniformly monotone norm. Moreover, for single-valued mappings, we extend Betiuk-Pilarska and Prus’s result [A. Betiuk-Pilarska, S. Prus, Banach lattices which are order uniformly noncreasy, J. Math. Anal. Appl. 342 (2008) 1271–1279] on the weak fixed point property to continuous mappings Satisfying Condition (C) on a w -weakly orthogonal OUNC Banach lattice.
Huagui Duan - One of the best experts on this subject based on the ideXlab platform.
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random mann iteration scheme and random fixed point theorems
Applied Mathematics Letters, 2005Co-Authors: Huagui DuanAbstract:In this paper, some concepts such as random monotone operators, random Mann iteration and so on in a separable real Banach space are introduced. Also the existence and uniqueness theorems of random fixed points for random monotone operators Satisfying Condition(H) are proved.
A. V. Greshnov - One of the best experts on this subject based on the ideXlab platform.
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proof of gromov s theorem on homogeneous nilpotent approximation for vector fields of class c 1
Siberian Advances in Mathematics, 2013Co-Authors: A. V. GreshnovAbstract:The article is devoted to the asymptotic properties of the vector fields \(\tilde X_i^g \), i = 1, …, N, θg-connected with C1-smooth basis vector fields {Xi}i=1,…,N Satisfying Condition (+ deg). We prove a theorem of Gromov on the homogeneous nilpotent approximation for vector fields of classC1. Nontrivial examples are constructed of quasimetrics induced by vector fields {Xi}i=1, …, N.
