ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS

Volume: 6 Number: 2 December 1, 2016
  • Anita Tomar
  • - Giniswamy
  • C. Jeyanthi
  • Maheshwari P.g.
EN

ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS

Abstract

Coincidence and common fixed point of six self maps satisfying F-contractions are established via common limit in the range property without exploiting the notion of continuity or containment of range space of involved maps or completeness of space/subspace. Our results generalize, extend and improve the analogous recent results in literature.

Keywords

References

  1. Banach,S., (1922), Sur les operations dans les ensembles abstrait setl eur applications aux equations integrals, Fundam. Math., 3, pp. 133-181.
  2. Batra,R., Type http://dx.doi.org/10.12988/ijma.2014.45147. on Coincidence J. Math. Anal., 8(27), of Metric Spaces, Int. pp. 1315-1320
  3. Chatterjee,S.K., (1972), Fixed point theorems, Comptes Rendus de l’Academie Bulgare des Sciences, 25, pp. 727-730.
  4. ´Ciri´c,L.B., (1974), A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 45(2), pp. 267-273.
  5. Imdad,M., Pant,B.D. and Chauhan,S., (2012), Fixed point theorems in Menger spaces using the (CLRST) property and applications, J. Nonlinear Anal. Optim., 3(2), pp. 225-237.
  6. Cosentino,M. and Vetro,P., (2014), Fixed point results for F-contractive mappings of Hardy-Rogers- type, Filomat, 28(4), pp. 715-722, DOI: 10.2298/ FIL1404715C.
  7. Hardy,G.E. and Rogers,T.D., (1973), A generalization of a fixed point theorem of Reich, Canad. Math. Bull., 16, pp. 201-206.
  8. Jungck,G. and Rhoades,B.E., (1998), Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29, pp. 227-238.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Anita Tomar This is me

- Giniswamy This is me

C. Jeyanthi This is me

Maheshwari P.g. This is me

Publication Date

December 1, 2016

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2016 Volume: 6 Number: 2

APA
Tomar, A., Giniswamy, -, Jeyanthi, C., & P.g., M. (2016). ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS. TWMS Journal of Applied and Engineering Mathematics, 6(2), 224-231. https://izlik.org/JA82LX39JD
AMA
1.Tomar A, Giniswamy, Jeyanthi C, P.g. M. ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS. JAEM. 2016;6(2):224-231. https://izlik.org/JA82LX39JD
Chicago
Tomar, Anita, - Giniswamy, C. Jeyanthi, and Maheshwari P.g. 2016. “ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics 6 (2): 224-31. https://izlik.org/JA82LX39JD.
EndNote
Tomar A, Giniswamy -, Jeyanthi C, P.g. M (December 1, 2016) ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS. TWMS Journal of Applied and Engineering Mathematics 6 2 224–231.
IEEE
[1]A. Tomar, - Giniswamy, C. Jeyanthi, and M. P.g., “ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS”, JAEM, vol. 6, no. 2, pp. 224–231, Dec. 2016, [Online]. Available: https://izlik.org/JA82LX39JD
ISNAD
Tomar, Anita - Giniswamy, - - Jeyanthi, C. - P.g., Maheshwari. “ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics 6/2 (December 1, 2016): 224-231. https://izlik.org/JA82LX39JD.
JAMA
1.Tomar A, Giniswamy -, Jeyanthi C, P.g. M. ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS. JAEM. 2016;6:224–231.
MLA
Tomar, Anita, et al. “ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 6, no. 2, Dec. 2016, pp. 224-31, https://izlik.org/JA82LX39JD.
Vancouver
1.Anita Tomar, - Giniswamy, C. Jeyanthi, Maheshwari P.g. ON COINCIDENCE AND COMMON FIXED POINT OF SIX MAPS SATISFYING F-CONTRACTIONS. JAEM [Internet]. 2016 Dec. 1;6(2):224-31. Available from: https://izlik.org/JA82LX39JD