Existence of fixed points of monotone asymptotic pointwise Lipschitzian mappings in hyperbolic metric spaces

Authors

  • S. C. Egbulem
  • N. M. Nwankwor Nnamdi Azikiwe University, Awka, Nigeria
  • N. N. Araka Federal University of Technology, Owerri, Nigeria
  • E. U. Ofoedu Nnamdi Azikiwe University, Awka, Nigeria

Abstract

In this work, we establish fixed point theorems for the classes of monotone asymptotic pointwise Lipschitzian  mappings and generalized monotone asymptotic pointwise non-expansive mappings in the setting of complete  hyperbolic metric spaces endowed with partial order. The Theorems obtained extend, generalize and unify some  existing results.

Author Biographies

  • S. C. Egbulem

    Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria

  • N. M. Nwankwor, Nnamdi Azikiwe University, Awka, Nigeria

    Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria

  • N. N. Araka, Federal University of Technology, Owerri, Nigeria

    Department of Mathematics, Federal University of Technology,

    Owerri, Nigeria

  • E. U. Ofoedu, Nnamdi Azikiwe University, Awka, Nigeria

    Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria

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Published

2022-04-28

Issue

Vol. 41 No. 1 (2022): JNMS:

Section

Articles

License

Creative Commons License

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

How to Cite

Existence of fixed points of monotone asymptotic pointwise Lipschitzian mappings in hyperbolic metric spaces. (2022). Journal of the Nigerian Mathematical Society, 41(1), 1-12. https://ojs.ictp.it/jnms/index.php/jnms/article/view/786