Tripled Fixed Point Theorems of Caristi type Contraction in Partially Ordered Metric Space

Authors

  • G Adilakshmi

  • G N.V.Kishore

  • N Veerraju

How to Cite

Adilakshmi, G., N.V.Kishore, G., & Veerraju, N. (2018). Tripled Fixed Point Theorems of Caristi type Contraction in Partially Ordered Metric Space. International Journal of Engineering and Technology, 7(3.31), 98-101. https://doi.org/10.14419/ijet.v7i3.31.18274

Received date: August 25, 2018

Accepted date: August 25, 2018

Published date: August 24, 2018

DOI:

https://doi.org/10.14419/ijet.v7i3.31.18274

Keywords:

Partially ordered Metric space, compatible maps, tripled fixed point, Caristi type contraction, lower semi continuous function.

Abstract

The main aim of this paper is to obtain a unique common tripled fixed point theorem in partial ordered metric space using Caristi type contraction.

 

 

References

  1. [1] T.G.Bhaskar and V.Lakshmikantham, “Fixed point theorems in partially ordered metric spaces and applicationsâ€, Nonlinear Analysis, 65, 2006, 1379-1393.

    [2] V. Berinde and M. Borcut, “ Tripled fixed point theorems for contraction type mappings in partially ordered metric spacesâ€, Nonlinear Analysis, Volume 74(15), 2011, 4889-4897.

    [3] K.P.R.Rao and G.N.V.Kishore, “ A unique common tripled fixed point theorem in partially ordered cone metric spacesâ€, Bulletin of mathematical Aanlyisi and Applications, Volume 3, 20112, 13-222.

    [4] V. Lakshmikantham and Lj.Ciric “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spacesâ€, Nonlinear Analysis, 70, 2009, 4341-4349.

    [5] J. S. Jung, Y. J. Cho, S. M. Kang, B. S. Lee, and Y. K. Choi, “Coincidence point theorems in generating spaces of quasi metric familyâ€, Fuzzy Sets and Systems, Vol.116(3), 2000, 471-479.

    [6] Caristi J, “Fixed point theorems for mappings satisfying in ward conditionsâ€, Transactions of the American Mathematical Society Vol. 215, 1976, pp. 241-251.

Downloads

How to Cite

Adilakshmi, G., N.V.Kishore, G., & Veerraju, N. (2018). Tripled Fixed Point Theorems of Caristi type Contraction in Partially Ordered Metric Space. International Journal of Engineering and Technology, 7(3.31), 98-101. https://doi.org/10.14419/ijet.v7i3.31.18274

Received date: August 25, 2018

Accepted date: August 25, 2018

Published date: August 24, 2018