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

1. Generalized Ulam-Hyers stability and well-posedness for fixed point equation via α-admissibility.

Author

Phiangsungnoen, Supak and Kumam, Poom

Subjects
*MATHEMATICAL mappings, *METRIC spaces, *FIXED point theory, *BANACH spaces, *MATHEMATICAL analysis, *FUNCTIONAL equations
Abstract

In this paper, we extend the concept of contraction mappings in b-metric spaces and utilize this concept to prove the existence and uniqueness of fixed point theorems for such mappings in such a space. We also prove the generalized Ulam-Hyers stability and well-posed results for a fixed point equation employing the concept of α-admissibility in b-metric spaces. We shall construct some examples to support our novel results. [ABSTRACT FROM AUTHOR]

Published
2014
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2. An explicit algorithm for solving the optimize hierarchical problems.

Author

Kumam, Poom, Jitpeera, Thanyarat, and Yarangkham, Wararat

Subjects
*NONEXPANSIVE mappings, *STOCHASTIC convergence, *VARIATIONAL inequalities (Mathematics), *FIXED point theory, *ALGORITHMS
Abstract

In this paper, we consider the variational inequality problem over the generalized mixed equilibrium problem which has a hierarchical structure. Strong convergence of the algorithm to the unique solution is guaranteed under some assumptions. [ABSTRACT FROM AUTHOR]

Published
2014
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3. On modified α- ϕ-fuzzy contractive mappings and an application to integral equations.

Author

Mishra, Urmila, Vetro, Calogero, and Kumam, Poom

Subjects
*INTEGRAL equations, *MATHEMATICS theorems, *FUNCTIONAL equations, *MATHEMATICAL mappings, *MATHEMATICAL research
Abstract

We introduce the notion of a modified α- ϕ-fuzzy contractive mapping and prove some results in fuzzy metric spaces for such kind of mappings. The theorems presented provide a generalization of some interesting results in the literature. Two examples and an application to integral equations are given to illustrate the usability of our theory. [ABSTRACT FROM AUTHOR]

Published
2016
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