SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES

Volume: 10 Number: 1 January 1, 2020
  • K. Dogan
  • F. Gursoy
  • V. Karakaya
EN

SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES

Abstract

In this study, we introduce a new three step iteration process and show that the iteration process converges to the unique xed point by two theorems under different conditions of contractive mappings on the generalized G- convex metric spaces. Also, we investigate data dependence result for this iterative process in the generalized G- convex metric spaces.

Keywords

References

  1. Takahashi, W., A convexity in metric space and nonexpansive mappings I, Kodai Math. Sem. Rep. 22 (1970), 142–149.
  2. Tian, Y-X., Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings, Comput. Math. Appl. 49 (2005) 1905–1912.
  3. Mustafa, Z., Sims, B., “Some remarks concerning D-metric spaces,” in International Conference on Fixed Point Theory and Applications, pp. 189–198, Yokohama, Yokohama, Japan, 2004.9.
  4. Mustafa, Z., Obiedat, H., Awawdeh, F., Some of fixed point theorem for mapping on complete G- metric spaces, Fixed Point Theory Appl., 2008(2008), Article ID 189870,page 12.
  5. Mustafa, Z., A new structure for generalized metric spaces with applications to FIxed point theory, Ph.D. thesis, University of Newcastle, Newcastle, UK, 2005.
  6. Mustafa, Z., Shatanawi, W. and Bataineh, M., Fixed point theorems on uncomplete G-metric spaces, J. Math. Stat. 4(4)(2008), 196-201.
  7. Mustafa, Z., Shatanawi, W., Bataineh, M., Existence of fixed point result in G-metric spaces, Int. J. Math. Math. Sci. 2009(2009), page 10, Article ID 283028.
  8. Mustafa, Z. and Sims, B., Fixed point theorems for contractive mappings in complete G-metric space, Fixed Point Theory Appl. 2009(2009), page 10, Article ID 917175.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

K. Dogan This is me

F. Gursoy This is me

V. Karakaya This is me

Publication Date

January 1, 2020

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2020 Volume: 10 Number: 1

APA
Dogan, K., Gursoy, F., & Karakaya, V. (2020). SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES. TWMS Journal of Applied and Engineering Mathematics, 10(1), 11-23. https://izlik.org/JA96UK73GW
AMA
1.Dogan K, Gursoy F, Karakaya V. SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES. JAEM. 2020;10(1):11-23. https://izlik.org/JA96UK73GW
Chicago
Dogan, K., F. Gursoy, and V. Karakaya. 2020. “SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES”. TWMS Journal of Applied and Engineering Mathematics 10 (1): 11-23. https://izlik.org/JA96UK73GW.
EndNote
Dogan K, Gursoy F, Karakaya V (January 1, 2020) SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES. TWMS Journal of Applied and Engineering Mathematics 10 1 11–23.
IEEE
[1]K. Dogan, F. Gursoy, and V. Karakaya, “SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES”, JAEM, vol. 10, no. 1, pp. 11–23, Jan. 2020, [Online]. Available: https://izlik.org/JA96UK73GW
ISNAD
Dogan, K. - Gursoy, F. - Karakaya, V. “SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES”. TWMS Journal of Applied and Engineering Mathematics 10/1 (January 1, 2020): 11-23. https://izlik.org/JA96UK73GW.
JAMA
1.Dogan K, Gursoy F, Karakaya V. SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES. JAEM. 2020;10:11–23.
MLA
Dogan, K., et al. “SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 1, Jan. 2020, pp. 11-23, https://izlik.org/JA96UK73GW.
Vancouver
1.K. Dogan, F. Gursoy, V. Karakaya. SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES. JAEM [Internet]. 2020 Jan. 1;10(1):11-23. Available from: https://izlik.org/JA96UK73GW