SOME FIXED POINT RESULTS FOR GENERALIZED CONTRACTIONS IN PARTIALLY ORDERED CONE METRIC SPACES

Authors

  • M. Asadi Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
  • H. Soleimani Department of Mathematics, Malayer Branch, Islamic Azad University, Malayer, Iran

Abstract

The aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani, K. Sadarangani [J. Harjani, K. Sadarangani, Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Analysis 72 (2010) 1188-1197] from metric spaces to cone metric spaces.

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Published

2015-05-27

How to Cite

Asadi, M., & Soleimani, H. (2015). SOME FIXED POINT RESULTS FOR GENERALIZED CONTRACTIONS IN PARTIALLY ORDERED CONE METRIC SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 6(1), 53-60. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/158

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Section

Research Article