A fixed point approach to the stability of the functional equation .
Jung, Soon-Mo, Min, Seungwook (2009)
Fixed Point Theory and Applications [electronic only]
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Jung, Soon-Mo, Min, Seungwook (2009)
Fixed Point Theory and Applications [electronic only]
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Kim, Byungbae, Jung, Soon-Mo (2007)
Journal of Inequalities and Applications [electronic only]
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Jung, Soon-Mo (2007)
Fixed Point Theory and Applications [electronic only]
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Abstract and Applied Analysis
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Kim, Gwang Hui, Xu, Bing, Zhang, Weinian (2002)
International Journal of Mathematics and Mathematical Sciences
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Jung, Soon-Mo (2007)
Abstract and Applied Analysis
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Li, Yongjin, Hua, Liubin (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Miheţ, Dorel (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Jung, Soon-Mo (2009)
Journal of Inequalities and Applications [electronic only]
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Jung, Soon-Mo, Min, Seungwook (2009)
Abstract and Applied Analysis
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Jung, Soon-Mo, Rassias, John Michael (2008)
Fixed Point Theory and Applications [electronic only]
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Fixed Point Theory and Applications [electronic only]
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Jin Rong Wang, Michal Fečkan (2017)
Mathematica Bohemica
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In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets. We derive some interesting sufficient conditions on practical Ulam-Hyers-Rassias stability from a nonlinear functional analysis point of view. Our method is based on solving nonlinear equations via homotopy method together with Bihari inequality result. Then we consider nonlinear...