Generalized Wellposedness and Multivalued Contraction

Volume: 27 Number: 2 June 27, 2014
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Generalized Wellposedness and Multivalued Contraction

Abstract

In this paper, we establish the fixed point theorem for multivalued contraction. Also we prove that the generalized well posedness of the fixed point problem and continuity of multivalued contraction. 

Keywords

References

  1. Kannan, R Some results on fixed points, Bull. Calcutta Math.Soc. 10 71-76 1968.
  2. Kunze, H.E., La Torre, D., and Vrscay, E.R., Contractive multifunctions, fixed point inclusions and iterated multifunction systems, J. Math. Anal. Appl. 330:159-173 2007.
  3. Nadler, S.B., Multivalued contraction mappings, Pacific J. Math., 30:475-488 1969.
  4. Petrusel A., Rus.I.A, and Cao. J.C, Well-posdeness in the generalized sense of the fixed point problems for multivalued operators, Taiwanese Journal of Mathematics, 11(3) 903-914 2007.
  5. Rhoades, B, E., A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 226:257-290 1977. [6]. Rhoades, B.E., Contractive continuity, Contemporary Mathematics, 72 233-245 1988. definitions and
  6. Rhoades, B.E., Fixed points and continuity for multivalued mappings, Internat. J. Math. Math. Sci., 15 15-30 1992.

Details

Primary Language

English

Subjects

-

Journal Section

-

Publication Date

June 27, 2014

Submission Date

June 14, 2013

Acceptance Date

-

Published in Issue

Year 2014 Volume: 27 Number: 2

APA
Prabackar, A., & Uthayakumar, R. (2014). Generalized Wellposedness and Multivalued Contraction. Gazi University Journal of Science, 27(2), 755-759. https://izlik.org/JA53PU99LF
AMA
1.Prabackar A, Uthayakumar R. Generalized Wellposedness and Multivalued Contraction. Gazi University Journal of Science. 2014;27(2):755-759. https://izlik.org/JA53PU99LF
Chicago
Prabackar, Arockia, and Ramasamy Uthayakumar. 2014. “Generalized Wellposedness and Multivalued Contraction”. Gazi University Journal of Science 27 (2): 755-59. https://izlik.org/JA53PU99LF.
EndNote
Prabackar A, Uthayakumar R (June 1, 2014) Generalized Wellposedness and Multivalued Contraction. Gazi University Journal of Science 27 2 755–759.
IEEE
[1]A. Prabackar and R. Uthayakumar, “Generalized Wellposedness and Multivalued Contraction”, Gazi University Journal of Science, vol. 27, no. 2, pp. 755–759, June 2014, [Online]. Available: https://izlik.org/JA53PU99LF
ISNAD
Prabackar, Arockia - Uthayakumar, Ramasamy. “Generalized Wellposedness and Multivalued Contraction”. Gazi University Journal of Science 27/2 (June 1, 2014): 755-759. https://izlik.org/JA53PU99LF.
JAMA
1.Prabackar A, Uthayakumar R. Generalized Wellposedness and Multivalued Contraction. Gazi University Journal of Science. 2014;27:755–759.
MLA
Prabackar, Arockia, and Ramasamy Uthayakumar. “Generalized Wellposedness and Multivalued Contraction”. Gazi University Journal of Science, vol. 27, no. 2, June 2014, pp. 755-9, https://izlik.org/JA53PU99LF.
Vancouver
1.Arockia Prabackar, Ramasamy Uthayakumar. Generalized Wellposedness and Multivalued Contraction. Gazi University Journal of Science [Internet]. 2014 Jun. 1;27(2):755-9. Available from: https://izlik.org/JA53PU99LF