Kangtunyakarn, Atid
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Kangtunyakarn, Atid
Alternative Name
Kangtunyakarn, A.
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Email
atid.ka@kmitl.ac.th
8 results
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Item type:Publication, The method for solving variational inequality problems with numerical results(2019-03-04) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Strong convergence theorem for the modified generalized equilibrium problem and fixed point problem of strictly pseudo-contractive mappings(2014-01-01) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Convergence theorem of κ-strictly pseudocontractive mapping and a modification of generalized equilibrium problems(2012-12-01)The purpose of this article, we first introduce strong convergence theorem of κ-strictly pseudo-contractive mapping without assumption of the mapping S = κ + (1 - κ)T. Then, we prove strong convergence of proposed iterative scheme for finding a common element of the set of fixed points of κ-strictly pseudo-contractive mapping and the set of solution of a modification of generalized equilibrium problem. Moreover, by using our main result and a new lemma in the last section we obtain strong convergence theorem for finding a common element of the set of fixed points of/c-strictly pseudo-contractive mapping and two sets of solutions of variational inequalities. © 2012 Kangtunyakarn; licensee Springer. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, A new mapping for finding a common element of the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach spaces(2013-01-01)In this paper we introduce a new mapping in a uniformly convex and 2-smooth Banach space to prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of fixed points of a finite family of strictly pseudo-contractive mappings and two sets of solutions of variational inequality problems. Moreover, we also obtain a strong convergence theorem for a finite family of the set of solutions of variational inequality problems and the set of fixed points of a finite family of strictly pseudo-contractive mappings by using our main result. © 2013 Kangtunyakarn; licensee Springer. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Fixed point theory for nonlinear mappings in Banach spaces and applications(2014-01-01)The purpose of this research is to study a finite family of the set of solutions of variational inequality problems and to prove a convergence theorem for the set of such problems and the sets of fixed points of nonexpansive and strictly pseudo-contractive mappings in a uniformly convex and 2-uniformly smooth Banach space. We also prove a fixed point theorem for finite families of nonexpansive and strictly pseudo-contractive mappings in the last section. © 2014 Kangtunyakarn; licensee Springer. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, The combination of the set of solutions of equilibrium problem for convergence theorem of the set of fixed points of strictly pseudo-contractive mappings and variational inequalities problem(2013-01-01) - Some of the metrics are blocked by yourconsent settings
Item type:Publication, The modification of system of variational inequalities for fixed point theory in Banach spaces(2014-01-01)In this paper, we use methods different from extragradient methods to prove a strong convergence theorem for the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and the set of solutions of modification of a system of variational inequalities problems in a uniformly convex and 2-uniformly smooth Banach space. Applying the main result we obtain a strong convergence theorem involving two sets of solutions of variational inequalities problems introduced by Aoyama et al. (Fixed Point Theory Appl. 2006:35390, 2006, doi:10.1155/FPTA/2006/35390) in a uniformly convex and 2-uniformly smooth Banach space. We also give a numerical example to support our result. © 2014 Kangtunyakarn; licensee Springer. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, Iterative scheme for a nonexpansive mapping, an η-strictly pseudo-contractive mapping and variational inequality problems in a uniformly convex and 2-uniformly smooth Banach space(2013-01-01)In this paper, we introduce an iterative scheme by the modification of Mann's iteration process for finding a common element of the set of solutions of a finite family of variational inequality problems and the set of fixed points of an η-strictly pseudo-contractive mapping and a nonexpansive mapping. Moreover, we prove a strong convergence theorem for finding a common element of the set of fixed points of a finite family of η<inf>i</inf>-strictly pseudo-contractive mappings for every i = 1,2, . . . , N in uniformly convex and 2-uniformly smooth Banach spaces. © 2013 Kangtunyakarn; licensee Springer.