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Start Over Author "Sen Chang" Journal international journal of mathematics and mathematical sciences
14 results on '"Sen Chang"'

1. A New Hybrid Algorithm for a Pair of Quasi--Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces

Author

Jinhua Zhu and Shih-Sen Chang

Subjects
Discrete mathematics, Mathematics::Functional Analysis, Pure mathematics, Article Subject, lcsh:Mathematics, Banach space, Fixed point, lcsh:QA1-939, Hybrid algorithm, Set (abstract data type), Mathematics (miscellaneous), Convergence (routing), Variational inequality, Equilibrium problem, Convex function, Mathematics
Abstract

The purpose of this paper is, by using a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for a variational inequality problem, and the set of common fixed points for a pair of quasi--asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results.

Published
2011

2. Fixed point theorems in metric spaces and probabilistic metric spaces

Author

Shih-sen Chang, Yeol Je Cho, and Keun Saeng Park

Subjects
Discrete mathematics, Uniform continuity, Metric space, Mathematics (miscellaneous), Fréchet space, lcsh:Mathematics, Injective metric space, Metric map, T-norm, lcsh:QA1-939, Mathematics, Intrinsic metric, Convex metric space
Abstract

In this paper, we prove some common fixed point theorems for compatible mappings of type(A)in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.

Published
1996

3. Strong and Weak Convergence Theorems for an Infinite Family of Lipschitzian Pseudocontraction Mappings in Banach Spaces

Author

Xiong Rui Wang, Shih-sen Chang, Chi Kin Chan, and Heung Wing Joseph Lee

Subjects
Discrete mathematics, Pure mathematics, Mathematics (miscellaneous), Weak convergence, lcsh:Mathematics, Banach space, lcsh:QA1-939, Mathematics
Abstract

The purpose of this paper is to study the strong and weak convergence theorems of the implicit iteration processes for an infinite family of Lipschitzian pseudocontractive mappings in Banach spaces.

Published
2011

4. A New Hybrid Algorithm for Solving a System of Generalized Mixed Equilibrium Problems, Solving a Family of Quasi-๐œ™-Asymptotically Nonexpansive Mappings, and Obtaining Common Fixed Points in Banach Space

Author

Shih S. Sen Chang and Jing Fang Tan

Subjects
Discrete mathematics, Article Subject, lcsh:Mathematics, Null (mathematics), Banach space, Regular polygon, Fixed point, Strongly monotone, lcsh:QA1-939, Hybrid algorithm, Set (abstract data type), Mathematics (miscellaneous), Scheme (mathematics), Applied mathematics, Mathematics
Abstract

The main purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of set of solutions for a system of generalized mixed equilibrium problems, set of common fixed points of a family of quasi--asymptotically nonexpansive mappings, and null spaces of finite family of -inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. The results presented in the paper improve and extend the corresponding results announced by some authors.

Published
2011

5. Coincidence point theorems for multivalued mappings

Author

Young-Cheng Peng and Shih-Sen Chang

Subjects
Pure mathematics, Metric space, Mathematics (miscellaneous), coincidence point, Injective metric space, lcsh:Mathematics, multivalued mapping, Topology, lcsh:QA1-939, Coincidence point, and fixed point, Convex metric space, Mathematics
Abstract

Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved. The results presented in this paper enrich and extend the corresponding results in [5-16, 20-25, 29].

Published
1993

6. On the semi-inner product in locally convex spaces

Author

Byung-Soo Lee, Shih-sen Chang, and Yu-Qing Chen

Subjects
Convex hull, Convex analysis, Pure mathematics, Mathematical optimization, lcsh:Mathematics, Topological tensor product, Convex set, upper semi-inner product, Subderivative, lower semi-inner product, lcsh:QA1-939, duality mapping, Mathematics (miscellaneous), semi-inner product, Locally convex topological vector space, Convex polytope, Absolutely convex set, Mathematics
Abstract

The purpose of this paper is to introduce the concept of semi-inner products in locally convex spaces and to give some basic properties.

Published
1997
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7. Common fixed point theorems and applications

Author

Hemant Kumar Pathak, Shih Sen Chang, Yeol Je Cho, and Jong Soo Jung

Subjects
Discrete mathematics, Mathematics (miscellaneous), Schauder fixed point theorem, lcsh:Mathematics, Probabilistic logic, Common fixed point, Fixed-point theorem, Fixed point, Fixed-point property, lcsh:QA1-939, Coincidence point, Mathematics
Abstract

The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented in this paper generalize some recent results.

Published
1997
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8. Common fixed point theorems and applications

Author

Kumar Pathak, Hemant, Sen Chang, Shih, Je Cho, Yeol, and Soo Jung, Jong

Abstract

The purpose of this paper is to discuss the existence of common fixed points for mappings in general quasi-metric spaces. As applications, some common fixed point theorems for mappings in probabilistic quasi-metric spaces are given. The results presented in this paper generalize some recent results.

Published
1997
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9. On the semi-inner product in locally convex spaces

Author

Shih-Sen Chang, Yu-Qing Chen, and Byung Soo Lee

Subjects
semi-inner product, duality mapping, upper semi-inner product, lower semi-inner product., Mathematics, QA1-939
Abstract

The purpose of this paper is to introduce the concept of semi-inner products in locally convex spaces and to give some basic properties.

Published
1997
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10. Fixed point theorems in metric spaces and probabilistic metric spaces

Author

Yeol Je Cho, Keun Saeng Park, and Shih-Sen Chang

Subjects
Mathematics, QA1-939
Abstract

In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.

Published
1996
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11. On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces

Author

Shih-Sen Chang, Yeol Je Cho, and Fan Wang

Subjects
Mathematics, QA1-939
Abstract

In this paper, we introduce the concept of more general probabilistic contractors in probabilistic normed spaces and show the existence and uniqueness of solutions for set-valued and single-valued nonlinear operator equations in Menger probabilistic normed spaces.

Published
1994
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12. A New Hybrid Algorithm for a Pair of Quasi-๐œ™-Asymptotically Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces

Author

Jinhua Zhu and Shih-Sen Chang

Subjects
Mathematics, QA1-939
Abstract

The purpose of this paper is, by using a new hybrid method, to prove a strong convergence theorem for finding a common element of the set of solutions for a generalized mixed equilibrium problem, the set of solutions for a variational inequality problem, and the set of common fixed points for a pair of quasi-𝜙-asymptotically nonexpansive mappings. Under suitable conditions some strong convergence theorems are established in a uniformly smooth and strictly convex Banach space with Kadec-Klee property. The results presented in the paper improve and extend some recent results.

Published
2011
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14. Coincidence point theorems for multivalued mappings

Author

Shih-Sen Chang and Young-Cheng Peng

Subjects
multivalued mapping, coincidence point, and fixed point., Mathematics, QA1-939
Abstract

Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved. The results presented in this paper enrich and extend the corresponding results in [5-16, 20-25, 29].

Published
1993
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