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

How to Cite

Egbulem, S. C., Nwankwor, N. M., Araka, N. N., & Ofoedu, E. U. (2022). Existence of fixed points of monotone asymptotic pointwise Lipschitzian mappings in hyperbolic metric spaces. Journal of the Nigerian Mathematical Society, 41(1), 1–12. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/786

Issue

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

Section

Articles

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