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Your search keyword '"Kumam, Poom"' showing total 3 results
3 results on '"Kumam, Poom"'

1. CONVERGENCE THEOREMS OF THE MODIFIED S-TYPE ITERATIVE METHOD FOR (β,β)-GENERALIZED HYBRID MAPPINGS IN CAT(0) SPACES.

Author

PAKKARANANG, NUTTAPOL, NGIAMSUNTHORN, PARINYA SA, KUMAM, POOM, and YEOL JE CHO

Subjects
STOCHASTIC convergence, ITERATIVE methods (Mathematics), FIXED point theory, MATHEMATICAL mappings, HILBERT space
Abstract

In this paper, we prove some strong and Δ-convergence theorems of the modified S-iteration for (α, β)-generalized hybrid mappings in CAT(0) spaces. Our results improve and extend the corresponding recent results announced in [1] and some papers. [ABSTRACT FROM AUTHOR]

Published
2017

2. Convergence Theorem for Class T Mappings in Hilbert Spaces.

Author

Witthayarat, Uamporn and Kumam, Poom

Subjects
FIXED point theory, STOCHASTIC convergence, MATHEMATICS theorems, MATHEMATICAL mappings, HILBERT space
Abstract

In this study, we would like to propose the iterative algorithm for solving the equilibrium problem and fixed point problem for the class ζ mappings which contain various kind of operators that are found in many problems in applied mathematics and other fields. We prove that the sequence xn which is generated by the proposed iterative algorithm converges strongly to a common element of these two sets. Furthermore, we give a numerical example which supports our main theorem in the last part. Our result extended and improve the existing result of Qiao-Li Dong and Songnian He and many others. [ABSTRACT FROM AUTHOR]

Published
2013

3. A new general iterative scheme for split variational inclusion and fixed point problems of [formula omitted]-strict pseudo-contraction mappings with convergence analysis.

Author

Deepho, Jitsupa, Thounthong, Phatiphat, Kumam, Poom, and Phiangsungnoen, Supak

Subjects
*ITERATIVE methods (Mathematics), *MATHEMATICAL mappings, *STOCHASTIC convergence, *FIXED point theory, *VARIATIONAL approach (Mathematics), *APPROXIMATION algorithms
Abstract

In this paper, we modify the general iterative method to approximate a common element of the set of solutions of split variational inclusion problem and the set of common fixed points of a finite family of k -strictly pseudo-contractive nonself mappings. Strong convergence theorem is established under some suitable conditions in a real Hilbert space, which also solves some variational inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. Finally, some examples to study the rate of convergence and some illustrative numerical examples are presented. [ABSTRACT FROM AUTHOR]

Published
2017
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