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Your search keyword '"Kumam, Poom"' showing total 4 results
Start Over Author "Kumam, Poom" Search Limiters Peer Reviewed Topic variational inequalities (mathematics) Publication Type Academic Journals Publisher eudoxus press, llc
4 results on '"Kumam, Poom"'

1. A GENERALIZED SYSTEM MIXED VARIATIONAL INEQUALITY INVOLVING THREE DIFFERENCE RELAXED COCOERCIVE OPERATORS.

Author

ONJAI-UEA, NAWITCHA and KUMAM, POOM

Subjects
*VARIATIONAL inequalities (Mathematics), *OPERATOR theory, *FIXED point theory, *RELAXATION methods (Mathematics), *HILBERT space, *LIPSCHITZ spaces, *MATHEMATICAL mappings, *NONLINEAR equations
Abstract

In this paper, we introduce and consider a new generalized system of nonlinear mixed variational inequality involving three difference relaxed cocoercive operators. This work is to use the resolvent operator technique to find the common solutions for a new generalized system of relaxed cocoercive mixed variational inequality problems and fixed point problems for Lipschitz mappings in Hilbert spaces. Our result in this paper improves and generalizes some know corresponding results in the literature. [ABSTRACT FROM AUTHOR]

Published
2013

2. A GENERALIZED SYSTEM MIXED VARIATIONAL INEQUALITY INVOLVING THREE DIFFERENCE RELAXED COCOERCIVE OPERATORS.

Author

ONJAI-UEA, NAWITCHA and KUMAM, POOM

Subjects
*GENERALIZATION, *VARIATIONAL inequalities (Mathematics), *OPERATOR theory, *NONLINEAR systems, *FIXED point theory, *MATHEMATICAL mappings, *HILBERT space
Abstract

In this paper, we introduce and consider a new generalized system of nonlinear mixed variational inequality involving three difference relaxed cocoercive operators. This work is to use the resolvent operator technique to find the common solutions for a new generalized system of relaxed cocoercive mixed variational inequality problems and fixed point problems for Lipschitz mappings in Hilbert spaces. Our result in this paper improves and generalizes some know corresponding results in the literature. [ABSTRACT FROM AUTHOR]

Published
2013

3. A GENERALIZED RANDOM NONLINEAR VARIATIONAL INCLUSION FOR MULTI-VALUED RANDOM OPERATORS IN A UNIFORMLY SMOOTH BANACH SPACE.

Author

Onjai-Uea, Nawitcha and Kumam, Poom

Subjects
*RANDOM operators, *NONLINEAR statistical models, *VARIATIONAL inequalities (Mathematics), *BANACH spaces, *ALGORITHMS, *ITERATIVE methods (Mathematics), *MATHEMATICAL analysis, *MATHEMATICAL mappings
Abstract

In this paper, we introduce and study the random nonlinear variational inclusion problem with multi-valued random operators. We define a random iterative algorithm for finding the approximate solutions of class of random variational inclusions and establish the convergence of random iterative sequence generated by proposed algorithm in a uniformly smooth Banach space. Our result in this paper improves and generalizes some know corresponding results in the literature. [ABSTRACT FROM AUTHOR]

Published
2012

4. A viscosity iterative scheme for inverse-strongly accretive operators in Banach spaees.

Author

Katchang, Phayap, Khamlae, Yaowalux, and Kumam, Poom

Subjects
*SCHEMES (Algebraic geometry), *STOCHASTIC convergence, *VARIATIONAL inequalities (Mathematics), *BANACH spaces, *ALGORITHMS, *FIXED point theory
Abstract

In this paper is to introduce a new iterative scheme for finding solutions of a variational inequality for inverse-strongly accretive mappings with a viscosity approximation method in Banach spaces. We obtain a strong convergence theorem in Banach spaces under some parameters controlling conditions. Our results extend and improve the recent results of Yan Hao [Iterative algorithms for inverse-strongly accretive mappings with applications, J. Appl. Math. Comput., 31, 193-202, 2009.], YeoI Je Cho et al., [Strong convergence of an iterative algorithm for accretive operators in Banach spaces, J. Comput. Anal. and AppI., vol. 10, no. 1, 113-125, 2008.] and many others. [ABSTRACT FROM AUTHOR]

Published
2010

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