Ulam-Hyers Stability and Well-posedness of the Fixed Point Problems for Contractive Multi-valued Operator in \(b\)-metric Spaces

Authors

  • Supak Phiangsungnoen Department of Mathematics, Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin (RMUTR), 264 Chakkrawat Rd., Chakkrawat, Samphanthawong, Bangkok 10100

DOI:

https://doi.org/10.26713/cma.v7i3.434

Keywords:

\(\alpha\)-admissible mappings, \(b\)-metric spaces, Fixed points, Multi-valued operator, Ulam-Hyers stability, Well-posedness

Abstract

In this paper, we establish some fixed point results for new classes of contractive multivalued mappings via \(\alpha_*\)-admissible mapping with respect to \(\eta\) in the class of \(b\)-metric spaces. To illustrate the obtained results, we provide some example. We also study the generalized Ulam-Hyers stability and well-posedness of fixed point problems are given. The theorems presented will extend, generalize or unify several statements currently exist in the literature on those topics.

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References

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CMA Vol 7 issue 3 (2016)

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Published

14-11-2016
CITATION

How to Cite

Phiangsungnoen, S. (2016). Ulam-Hyers Stability and Well-posedness of the Fixed Point Problems for Contractive Multi-valued Operator in \(b\)-metric Spaces. Communications in Mathematics and Applications, 7(3), 241–262. https://doi.org/10.26713/cma.v7i3.434

Issue

Vol. 7 No. 3 (2016)

Section

Research Article

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