Fixed point results for fuzzy mappings on an intersection of an open ball and a sequence

Article type: Research Article

Authors: Shoaib, Abdullah^{; *} | Shahzad, Aqeel

Affiliations: Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan

Correspondence: [*] Corresponding author. Abdullah Shoaib, Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan. E-mail [email protected].

Abstract: In this paper, we have achieved fixed point results for pair of fuzzy mappings satisfying Ciric type contraction on a sequence contained in an open ball in ordered left (right) K-sequentially complete dislocated quasi metric space. An example and an application are presented to demonstrate the novelty of the results. Our results generalize and extend some recent results in literature.

Keywords: Fixed point, left (right) K-sequentially complete dislocated quasi metric space, open ball, fuzzy mapping, generalized contraction

Keywords: 46S40, 47H10, 54H25

DOI: 10.3233/JIFS-190325

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 3, pp. 4217-4229, 2019