SOFT EQUIVALENT, UNIFORMLY EQUIVALENT AND LIPSCHITZ EQUIVALENT METRICS
B. SURENDRANATH REDDY *
School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606 (Maharashtra), India
SAYYED JALIL
School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606 (Maharashtra), India
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduce soft equivalent metrics with few examples and derive some properties of soft equivalent metrics. We give sucient condition for soft equivalent metrics. We also dene more stronger versions of soft equivalent metrics namely soft uniformly equivalent and soft Lipschitz equivalent metrics and investigate their relation.
Keywords: Soft set, Soft bounded, soft metric, soft open, soft continuous, soft Lipschitz, soft complete