New Fuzzy Fixed Point Results With Related Applications

Mohammed Shehu Shagari and Aliyu Ibrahim Fulatan ()
Additional contact information
Mohammed Shehu Shagari: Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
Aliyu Ibrahim Fulatan: Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria

New Mathematics and Natural Computation (NMNC), 2021, vol. 17, issue 03, 529-552

Abstract: In this paper, two renowned fixed point results which belong to Presic and Heilpern in the context of metric and fuzzy fixed point theory are revisited. To this end, we initiate the study of Heilpern–Presic type fuzzy fixed point results through some generalized weakly contractive conditions in the framework of b-metric spaces. A few counterparts of our results in the setting of multi-valued and single-valued mappings are noted and discussed. A nontrivial example is provided to validate the assertions of our theorems. Moreover, stability conditions of Presic type fuzzy set-valued maps are introduced and global attractivity result for a class of nonlinear matrix difference equations is also obtained as one of the applications of our results. The presented ideas herein complement and extend several significant results in the comparable literature.

Keywords: Fuzzy set; fuzzy fixed point; b-metric space; stability; Thompson metric (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005721500265
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500265

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005721500265

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().