Solution of the Ulam stability problem for Euler–Lagrange–Jensen k‐quintic mappings |
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| Authors: | S A Mohiuddine John Michael Rassias Abdullah Alotaibi |
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| Affiliation: | 1. Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;2. Pedagogical Department, Mathematics and Informatics, National and Capodistrian University of Athens, Athens, Attica, Greece |
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| Abstract: | In this paper, we are introducing pertinent Euler–Lagrange–Jensen type k‐quintic functional equations and investigate the ‘Ulam stability’ of these new k‐quintic functional mappings f:X→Y, where X is a real normed linear space and Y a real complete normed linear space. We also solve the Ulam stability problem for Euler–Lagrange–Jensen alternative k‐quintic mappings. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | fixed point method Hyers– Ulam– Rassias stability various normed spaces Euler– Lagrange mapping |
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