Some New CARISTI Type Results in Metric Spaces with an Application to Graph Theory

Authors and Affiliations

  • G. Adilakshmi
  • G. N.V.Kishore
  • W. Sridhar

About this article

DOI:

https://doi.org/10.14419/ijet.v7i4.10.20917

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Keywords:

Metric spaces, W - compatible maps, fixed point, Caristi type mapping.

Abstract

In this paper we proved some new Caristi type common fixed point theorems for four maps in a metric space and we gave an applications to Graph theory.

References

Abbas M, Alikhan M, S.Radenovi´ c, “Common coupled fixed point theorems in cone metric spaces for w-compatible mappings”, Applied Mathematics and Computation., 217(1) (2010), 195 - 202.

Aydi H, “Some coupled fixed point results on partial metric spac-es”, International Journal of Mathematics and Mathematical Scienc-es., 2011, Article ID 647091.

Caristi J, “Fixed point theorems for mappings satisfying inwardness conditions”,Transactions of the American Mathematical Society., 215 (1976), pp. 241-251.

Ekeland I, “On the variational principle”, Journal of Mathematical Analysis and Applications., 47(2) (1974), 324-353.

Karap nar E, “Generalizations of Caristi Kirk’s Theorem on Partial metric Spaces”, Fixed Point Theory and. Appl., 2011, 2011:4.

View more references (6)

Lakshmikantham V, ´Ciri´c Lj, “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces”, Nonlinear Analysis., 70 (2009), 4341 - 4349.

Alfuraidan MR and Khamsi MA, “Caristi fixed point theorem in Metric space with a Graph”, Hindawi Publishing corporation Ab-stract and Applied Analysis., 2014, Article ID 303484.

P. C. Bhakta, T. Basu, “Some fixed point theorems on metric spac-es”, J. Indian Math. Soc., 45 (1981),399-404.

Rao KPR, Kishore GNV, Nguyen Van Luong, “A unique common coupled fixed point theorem for four maps under ψ - φ contractive condition in partial metric spaces”, CUBO A Mathematical Jour-nal.,14(3) (2012), 115 - 127.

Rao KPR, Kishore GNV, Raju VCC, “A coupled fixed point theo-rem for two pairs of w - compatible maps using altering distance function in partial metric space”, Journal of Advanced Research in Pure Mathematics., 4(4) (2012), 96 - 114.

Banach S, “Sur les operations dans les ensembles abstraits et leur application aux equations integrals”, Fund. Math., 3(1) (1922), 133 181.


How to Cite

Adilakshmi, G., N.V.Kishore, G., & Sridhar, W. (2018). Some New CARISTI Type Results in Metric Spaces with an Application to Graph Theory. International Journal of Engineering and Technology, 7(4.10), 303-305. https://doi.org/10.14419/ijet.v7i4.10.20917

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