|
|
 |
| |
|
|
|
Unified Fixed Point Theorems on ∈−Chainable Fuzzy Metric Space and Modified Intuitionistic Fuzzy Metric Space |
|
|
|
PP: 2283-2291 |
|
|
|
doi:10.18576/amis/100631
|
|
|
|
Author(s) |
|
|
|
Vishal Gupta,
Ashima Kanwar,
|
|
|
|
Abstract |
|
|
| The theory of fuzzy set has been constantly growing by many eminent mathematicians. The core objective of present study
is to give a criteria of getting unique fixed point for six mappings on 2 − chainable fuzzy metric space. Here, special attention is paid
to using the concept of weakly compatible and continuous mapping on complete fuzzy metric spaces. Moreover, we define the concept
of 2 −chain on modified intuitionistic fuzzy metric space (say MIFM-space) . With support of this notion, we ascertain a fixed point
result on modified intuitionistic fuzzy metric space. In this paper, we also elongate the main result for finite number of mappings and
give an application for integral type contraction on fuzzy metric space and MIFM-space. |
|
|
|
|
|
|
|
