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

Authors

  • MEHDI ASADI Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
  • HOSSEIN SOLEIMANI Department of Mathematics, Malayer Branch, Islamic Azad University, Malayer, Iran

Keywords:

Cone metric space, Fixed point, Partially ordered set

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.

Additional Files

Published

05/27/2015

Issue

Vol. 6 No. 1 (2015): JNAO

Section

Research Articles

License

Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

Creative Commons License

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.