Weakly contractive maps and common fixed points

Authors

  • Akbar Azam Department of Mathematics F.G. Postgraduate College, H-8, Islamabad, Pakistan Author
  • Muhammad Shakeel Department of Mathematics International Islamic University, Islamabad, Pakistan Author

Keywords:

Common fixed point, coincidence point, weakly contractive mappings, convex metric space

Subjects:

47H10, 54H25

Abstract

We prove the existence of common coincidence point and common fixed point for the self mappings satisfying a generalizedweak contractive condition. Consequently it is shown that sequence of Mann type iterations associated with two self-mappings on convexmetric space converges to their common fixed point.

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Published

2008-04-15

Issue

Vol. 60 No. 2 (2008): Vol. 60, Issue 2

Section

Articles

License

Copyright (c) 2008 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.