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Search Results: 1 - 10 of 31996 matches for " Shin Min Kang "
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Common periodic points for a class of continuous commuting mappings on an interval
Shin Min Kang,Weili Wang
International Journal of Mathematics and Mathematical Sciences , 2003, DOI: 10.1155/s016117120320435x
Abstract: The existence of common periodic points for a family of continuous commuting self-mappings on an interval is proved and two illustrative examples are given in support of our theorem and definition.
Common stationary points of multivalued mappings on bounded metric spaces
Zeqing Liu,Shin Min Kang
International Journal of Mathematics and Mathematical Sciences , 2000, DOI: 10.1155/s0161171200004427
Abstract: Necessary and sufficient conditions for the existence of common stationarypoints of two multivalued mappings and common stationary point theorems formultivalued mappings on bounded metric spaces are given. Our results extendthe theorems due to Fisher in 1979, 1980, and 1983 and Ohta and Nikaido in 1994.
On mappings with diminishing orbital diameters
Zeqing Liu,Shin Min Kang
International Journal of Mathematics and Mathematical Sciences , 2001, DOI: 10.1155/s0161171201006822
Abstract: We introduce the concepts of ∗-diminishing orbital diameters and diminishing orbital diameters for a pair (f,g) of self mappings in metric spaces and prove common fixed point theorems for these mappings. The results obtained in this paper extend properly the result of Fisher (1978).
Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces
Arif Rafiq,Shin Min Kang
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/294718
Abstract: We proved that the modified implicit Mann iteration process can be applied to approximate the fixed point of strictly hemicontractive mappings in smooth Banach spaces.
On Convergence Results for Lipschitz Pseudocontractive Mappings
Shin Min Kang,Arif Rafiq
Journal of Applied Mathematics , 2012, DOI: 10.1155/2012/902601
Abstract: We establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.
Common fixed point theorems for left reversible and near-commutative semigroups and applications
Liu Zeqing,Kang Shin Min
Journal of Inequalities and Applications , 2005,
Abstract: We prove some common fixed point theorems for left reversible and near-commutative semigroups in compact and complete metric spaces, respectively. As applications, we get the existence and uniqueness of solutions for a class of nonlinear Volterra integral equations.
Stationary points for set-valued mappings on two metric spaces
Zeqing Liu,Qingtao Liu,Shin Min Kang
International Journal of Mathematics and Mathematical Sciences , 2001, DOI: 10.1155/s0161171201006755
Abstract: We give stationary point theorems of set-valued mappings incomplete and compact metric spaces. The results in this notegeneralize a few results due to Fisher.
On characterizations of fixed points
Zeqing Liu,Lili Zhang,Shin Min Kang
International Journal of Mathematics and Mathematical Sciences , 2001, DOI: 10.1155/s0161171201007037
Abstract: We give some necessary and sufficient conditions for the existence of fixed points of a family of self mappings of a metric space and we establish an equivalent condition for the existence of fixed points of a continuous compact mapping of a metric space.
Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators
Zeqing Liu,Lili Zhang,Shin Min Kang
International Journal of Mathematics and Mathematical Sciences , 2002, DOI: 10.1155/s0161171202112257
Abstract: Suppose that X is an arbitrary real Banach space and T:X→X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.
Iterative solutions of nonlinear equations with Φ-strongly accretive operators
Shin Min Kang, Chi Feng, Zeqing Liu
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE , 2008,
Abstract: . Suppose that X, is an arbitrary real Banach space and T X X is a Lipschitz continuous
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