Metric domains, holomorphic mappings and nonlinear semigroups
Abstract and Applied Analysis, 1998 We study nonlinear semigroups of holomorphic mappings on certain domains in complex Banach spaces. We examine, in particular, their differentiability and their representations by exponential and other product formulas.
Simeon Reich, David Shoikhet
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On Uniformly Generalized Lipschitzian Mappings [PDF]
Fixed Point Theory and Applications, 2010 We consider another class of generalized Lipschitzian type mappings and utilize the same to prove fixed point theorems for asymptotically regular and uniformly generalized Lipschitzian one-parameter semigroups of self-mappings defined on bounded metric ...
Ahmed H. Soliman, M. Imdad
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Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings [PDF]
Complexity, 2018 We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables.
Azza Alghamdi +2 more
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Fixed point properties for semigroups of nonlinear mappings and amenability
Journal of Functional Analysis, 2012 In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder fixed point property for a semitopological semigroup of continuous mappings
Yong Zhang
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Common Solutions of Generalized Mixed Equilibrium Problems, Variational Inclusions, and Common Fixed Points for Nonexpansive Semigroups and Strictly Pseudocontractive Mappings [PDF]
Journal of Applied Mathematics, 2011 We introduce a new iterative scheme by shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of common solutions of variational inclusion problems with set-valued maximal ...
Poom Kumam +2 more
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Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2018 It has been a long-standing problem posed by the first author in a conference in Marseille in 1990 to characterize semitopological semigroups which have common fixed point property when acting on a nonempty weak* compact convex subset of a dual Banach ...
Anthony To-Ming Lau, Yong Zhang
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Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk
Revista Integración, 2015 For closed convex subsets D of a Banach spaces, in 2009, Tomonari Suzuki [11] proved that the fixed point property (FPP) for nonexpansive mappings and the FPP for nonexpansive semigroups are equivalent.
Luis Benítez-Babilonia
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Fixed Point Theory and Applications, 2011 In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an ...
Piri Hossein, Badali Ali
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Characterizing some regularities of ordered semigroups by their anti-hybrid ideals [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 We focus on mappings called hybrid structures. A hybrid structure can be regarded as a combination of a soft set and a fuzzy set. Therefore, with the help of the products of union softs sets and fuzzy sets, we can define a new product of hybrid ...
Krittika Linesawat, Somsak Lekkoksung
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Elementary definability of the class of universal hypergraphic automata in the class of semigroups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2022 Hypergraphic automata are automata, state sets and output symbol sets of which are hypergraphs, being invariant under actions of transition and output functions. Universally attracting objects in the category of hypergraphic automata are called universal
Molchanov, Vladimir Aleksandrovich +1 more
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