A NEW APPROACH TO SOME FIXED POINT THEOREMS FOR MULTIVALUED NONLINEAR F-CONTRACTIVE MAPS

Authors

  • R. Lashkaripour Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran Author
  • H. Baghani and Z. Ahamdi Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran Author

Keywords:

Fixed point, Hausdorff metric, multivalued contraction, $SO$-complete metric space, $SO$-lower semi-continuous

Subjects:

54H25, 47H10

Abstract

In this article, by introducing a new operator, we give a new generalized contraction condition for multivalued maps. Moreover, without assumption of lower semi-continuity, we prove some fixed point theorems in incomplete metric spaces.Our results are extension of the corresponding results ofI. Altun et al.\ (Nonlinear Analysis: Modeling and control, 2016, Vol.\ 21, No.\ 2, 201–210). Also, we provide some examples to show that our main theorem is a generalization of some previous results.

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Published

2019-10-15

Issue

Vol. 71 No. 4 (2019): Vol. 71, Issue 4

Section

Articles

License

Copyright (c) 2019 Authors retain copyright to their work.

Creative Commons License

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