Research Article

Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions

Volume: 7 December 19, 2017
EN

Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions

Abstract

In this paper, we present some fixed point theorems for contraction of rational type by using a class of pairs of functions satisfying certain assumptions with C-class functions in a complete partial metric space. Also, an example is given to support our main result. Our result extends and generalizes some well-known results of [7] and [8] in metric spaces.

Keywords

References

  1. Abbas, M., Nazir, T., Ramaguera, S., Fixed point results for generalized cyclic contraction mappings in partial metric spaces, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat., RACSAM, 106(1)(2012), 287–297.
  2. Abdeljawad, T., Karapinar, E., Tas, K., Existence and uniqueness of a common fixed point on partial metric spaces, Appl. Math. Lett., 24(11)(2011), 1900–1904.
  3. Acar, O., Berinde, V., Altun, I., Fixed point theorems for Ciric-type strong almost contractions on partial metric spaces, J. Fixed Point Theory Appl., 12(2012), 247–259.
  4. Ansari, A. H., Note on $\varphi $--$\psi $ contractive type mappings and related fixed point, The 2nd Regional Conference on Mathematics And Applications, PNU, September 2014, 377–380.
  5. Ansari, A. H., Chandok, S., Ionescu, C., Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions, Journal of Inequalities and Applications 2014, 2014:429, 17 pages.
  6. Dass, B. K., Gupta, S., An extension of Banach contraction principle through rational expressions, Indian J. Pure Appl. Math., 6(1975), 1455–1458.
  7. Dutta, P. N., Choudhury, B. S., A generalization of contraction principle in metric spaces, Fixed Point Theory Appl., 2008, Article ID 406368.
  8. Erhan, D. M., Karapinar, E., Narang, T. D., Different types of Meir-Keeler contractions on partial metric spaces, J. Comput. Anal. Appl., 14(6)(2012), 1000–1005.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

December 19, 2017

Submission Date

May 16, 2017

Acceptance Date

August 3, 2017

Published in Issue

Year 2017 Volume: 7

APA
Yildirim, İ., Ansarı, A. H., Khan, M. S., & Fısher, B. (2017). Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions. Turkish Journal of Mathematics and Computer Science, 7, 1-9. https://izlik.org/JA57KN66HM
AMA
1.Yildirim İ, Ansarı AH, Khan MS, Fısher B. Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions. TJMCS. 2017;7:1-9. https://izlik.org/JA57KN66HM
Chicago
Yildirim, İsa, Arslan Hojat Ansarı, M. S. Khan, and Brian Fısher. 2017. “Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions With C-Class Functions”. Turkish Journal of Mathematics and Computer Science 7 (December): 1-9. https://izlik.org/JA57KN66HM.
EndNote
Yildirim İ, Ansarı AH, Khan MS, Fısher B (December 1, 2017) Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions. Turkish Journal of Mathematics and Computer Science 7 1–9.
IEEE
[1]İ. Yildirim, A. H. Ansarı, M. S. Khan, and B. Fısher, “Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions”, TJMCS, vol. 7, pp. 1–9, Dec. 2017, [Online]. Available: https://izlik.org/JA57KN66HM
ISNAD
Yildirim, İsa - Ansarı, Arslan Hojat - Khan, M. S. - Fısher, Brian. “Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions With C-Class Functions”. Turkish Journal of Mathematics and Computer Science 7 (December 1, 2017): 1-9. https://izlik.org/JA57KN66HM.
JAMA
1.Yildirim İ, Ansarı AH, Khan MS, Fısher B. Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions. TJMCS. 2017;7:1–9.
MLA
Yildirim, İsa, et al. “Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions With C-Class Functions”. Turkish Journal of Mathematics and Computer Science, vol. 7, Dec. 2017, pp. 1-9, https://izlik.org/JA57KN66HM.
Vancouver
1.İsa Yildirim, Arslan Hojat Ansarı, M. S. Khan, Brian Fısher. Fixed Point Theorems on Partial Metric Spaces Involving Rational Type Expressions with C-Class Functions. TJMCS [Internet]. 2017 Dec. 1;7:1-9. Available from: https://izlik.org/JA57KN66HM