Research Article

Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)

Volume: 26 Number: 1 March 31, 2013
EN

Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)

Abstract

The aim of this paper is to prove a common fixed point theorem for non-surjective expansion mappings in Menger space employing the property (E.A). We also furnish an illustrative example to support our result. Our results improve and generalize a host of previously known fixed point theorems.

Keywords

References

  1. [1] S. Banach, “Sur les operations dans les ensembles abstraits et leur application aux equations integrals”, Fund. Math., 3:133-181 (1922).
  2. [2] R. C. Dimri, B. D. Pant and S. Kumar, “Fixed point of a pair of non-surjective expansion mappings in Menger spaces”, Stud. Cerc. Sţ. Ser. Matematica Universitatea Bacău, 18:55- 62(2008).
  3. [3] M. Frechet, “Sur quelques points du calculfonctionnel”, Rendic. Circ. Mat. Palermo, 22:1-74(1906).
  4. [4] R. K. Gujetiya, V. K. Gupta, M. S. Chauhan and O. Sikhwal, “Common fixed point theorem for expansive maps in Menger spaces through compatibility”, Int. Math. Forum, 5(63):3147- 3158(2010).
  5. [5] G. Jungck, “Compatible mappings and common fixed points”, Int. J. Math. Math. Sci., 9(4):771-779(1986).
  6. [6] I. Kubiaczyk and S. Sharma, “Some common fixed point theorems in Menger space under strict contractive conditions”, Southeast Asian Bull. Math., 32:117- 124(2008).
  7. [7] S. Kumar, “Some fixed point theorems in Menger spaces and applications”, Ph.D. Dissertation, Kumaun Univ., Nainital (India), (2008).
  8. [8] S. Kumar, R. Chugh and R. K. Vats, “Fixed point theorems for expansion mappings theorems in various spaces”, Stud. Cerc. Sţ. Ser. Matematica Universitatea Bacău, 16:47- 68(2006).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Suneel Kumar This is me

Publication Date

March 31, 2013

Submission Date

August 12, 2012

Acceptance Date

-

Published in Issue

Year 2013 Volume: 26 Number: 1

APA
Chauhan, S., & Kumar, S. (2013). Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science, 26(1), 47-50. https://izlik.org/JA73DP99BT
AMA
1.Chauhan S, Kumar S. Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science. 2013;26(1):47-50. https://izlik.org/JA73DP99BT
Chicago
Chauhan, Sunny, and Suneel Kumar. 2013. “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”. Gazi University Journal of Science 26 (1): 47-50. https://izlik.org/JA73DP99BT.
EndNote
Chauhan S, Kumar S (March 1, 2013) Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science 26 1 47–50.
IEEE
[1]S. Chauhan and S. Kumar, “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”, Gazi University Journal of Science, vol. 26, no. 1, pp. 47–50, Mar. 2013, [Online]. Available: https://izlik.org/JA73DP99BT
ISNAD
Chauhan, Sunny - Kumar, Suneel. “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”. Gazi University Journal of Science 26/1 (March 1, 2013): 47-50. https://izlik.org/JA73DP99BT.
JAMA
1.Chauhan S, Kumar S. Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science. 2013;26:47–50.
MLA
Chauhan, Sunny, and Suneel Kumar. “Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.)”. Gazi University Journal of Science, vol. 26, no. 1, Mar. 2013, pp. 47-50, https://izlik.org/JA73DP99BT.
Vancouver
1.Sunny Chauhan, Suneel Kumar. Fixed Points of Expansion Mappings in Menger Spaces With Property (E.A.). Gazi University Journal of Science [Internet]. 2013 Mar. 1;26(1):47-50. Available from: https://izlik.org/JA73DP99BT