International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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Volume 135 - Issue 3 |
Published: February 2016 |
Authors: Mohit Kumar, Ritu Arora |
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Mohit Kumar, Ritu Arora . Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces. International Journal of Computer Applications. 135, 3 (February 2016), 6-9. DOI=10.5120/ijca2016908294
@article{ 10.5120/ijca2016908294, author = { Mohit Kumar,Ritu Arora }, title = { Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces }, journal = { International Journal of Computer Applications }, year = { 2016 }, volume = { 135 }, number = { 3 }, pages = { 6-9 }, doi = { 10.5120/ijca2016908294 }, publisher = { Foundation of Computer Science (FCS), NY, USA } }
%0 Journal Article %D 2016 %A Mohit Kumar %A Ritu Arora %T Relative Asymptotic Regularity and Fixed Points in Fuzzy 2-Metric Spaces%T %J International Journal of Computer Applications %V 135 %N 3 %P 6-9 %R 10.5120/ijca2016908294 %I Foundation of Computer Science (FCS), NY, USA
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 self-mappings 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.