Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces | Zendy

Mohit Kumar | Zendy; Ritu Arora | Zendy

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Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces

Author(s) -

Mohit Kumar,

Ritu Arora

Publication year - 2016

Publication title -

international journal of computer applications

Language(s) - English

Resource type - Journals

ISSN - 0975-8887

DOI - 10.5120/ijca2016908294

Subject(s) - computer science , metric space , metric (unit) , fixed point , fuzzy logic , discrete mathematics , mathematics , artificial intelligence , mathematical analysis , operations management , economics

In this paper, we established fixed point theorems for two and three self-maps of a complete fuzzy 2-metric space. The contractive definition is a generalization of Hardy-Rogers and the commuting condition of Jungck is replaced by the concept of weakly commuting. The notion of relative asymptotic regularity of a sequence in a fuzzy 2-metric space is introduced and fixed point theorems for two and three selfmappings of a complete fuzzy 2-metric space is proved. Further, a result for a pair of weakly commuting mappings and relative asymptotically regular sequence is presented in complete fuzzy 2-metric space.

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