An altering distance function in fuzzy metric fixed point theorems

• DOI: 10.1186/s13663-015-0318-1
• Publication Date: 2015-05-13T16:09:30Z
• Authors: Nopparat Wairojjana; Tatjana Došenović; Dušan Rakić; Dhananjay Gopal; Poom Kumam
• Keywords: Artificial intelligence; Class (philosophy); Metric (unit); Economics; 02 engineering and technology; Mathematical analysis; 01 natural sciences; Fixed Point Theorems in Metric Spaces; FOS: Mathematics; 0202 electrical engineering, electronic engineering, information engineering; Differential geometry; 0101 mathematics; Fixed-point theorem; Topology (electrical circuits); Fixed Point Theorems; Countable set; Applied Mathematics; Pure mathematics; Fixed point; Discrete mathematics; 16. Peace & justice; Computer science; 3. Good health; Operations management; Combinatorics; Physical Sciences; Geometry and Topology; Fuzzy Metric Spaces; Metric space; Mathematics

Abstract The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić Chaos Solitons Fractals 42:146-154, 2009; Shen et al. Appl. Math. Lett. 25:138-141, 2012). For purpose, the altering distance functions are used. Moreover, some presented class t -norms extended by using theory countable extensions -norms. mentioned generalizations illustrated examples.