GENERALIZED CONTRACTIVE MAPPINGS IN b-METRIC SPACES

Authors

  • ZAHRA ALINEJAD Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Mashhad, Iran
  • KAMEL MIRMOSTAFAEE Department of Mathematics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Mashhad, Iran

Keywords:

Fixed points, b-meric spaces, contraction-type mappings

Abstract

We will apply a new method to generalize some fixed point theorems for a special class of contractive type mappings in complete b-metric spaces. We also discuss about the existence of a unique fixed point for a family of self mappings. Our results enable us to generalize some known fixed point theorems in the literature. Finally, we present some applications of our results

Additional Files

Published

03/31/2018

Issue

Vol. 9 No. 1 (2018): JNAO

Section

Research Articles

License

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

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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.