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Nonlinear Analysis pp 363–380Cite as

Random Stability of an AQCQ Functional Equation: A Fixed Point Approach

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 68))

Abstract

Recently, Hyers–Ulam stability of the following additive-quadratic–cubic–quartic functional equation

was proved in a Banach space in an earlier work. In this paper, we prove the generalized Hyers–Ulam stability of the above functional equation in random normed spaces.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Yasouj University, Yasouj, 75914-353, Iran

    Hassan Azadi Kenary

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  1. Hassan Azadi Kenary
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Correspondence to Hassan Azadi Kenary .

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Editors and Affiliations

  1. , Department of Industrial & Systems Engin, University of Florida, Weil Hall 401, Gainesville, 32611, Florida, USA

    Panos M. Pardalos

  2. Center for Applied Optimization, Dept. Industrial & Systems, University of Florida, Weil Hall 303, Gainesville, 32611-6595, Florida, USA

    Pando G. Georgiev

  3. , Department of Mathematics & Statistics, University of Victoria, Finnerty Road 3800, Victoria, V8W 3R4, British Columbia, Canada

    Hari M. Srivastava

Additional information

Dedicated to Professor Themistocles M. Rassias on the occasion of his 60th birthday.

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Kenary, H.A. (2012). Random Stability of an AQCQ Functional Equation: A Fixed Point Approach. In: Pardalos, P., Georgiev, P., Srivastava, H. (eds) Nonlinear Analysis. Springer Optimization and Its Applications, vol 68. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3498-6_22

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