# Prevalent fixed point theorems on MIFM-Spaces using the ($CLR_{SR}$) property and implicit function

Volume 25, Issue 4, pp 341--350
Publication Date: August 09, 2021 Submission Date: March 29, 2021 Revision Date: June 26, 2021 Accteptance Date: June 30, 2021
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### Authors

P. K. Sharma - Department of Mathematics, SVIS, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Indore-453111, MP, India. Sh. Sharma - Department of Mathematics , Govt. P. G. College, Guna-473001, MP, India.

### Abstract

The main goal of this study is to use an implicit function to demonstrate the existence of a common fixed point on modified intuitionistic fuzzy metric spaces by using the concept of common limit range property with regard to two self-mappings $S$ and $R$, i.e., ($CLR_{SR}$) property. Our primary result is supported by an example that validates the hypotheses of our result. Our findings improve and generalize the findings of Tanveer et al. [M. Tanveer, M. Imdad, D. Gopal, D. K. Patel, Fixed Point Theory Appl., $\bf 2012$ (2012), 1--12], and other existing results related to this study.

### Share and Cite

##### ISRP Style

P. K. Sharma, Sh. Sharma, Prevalent fixed point theorems on MIFM-Spaces using the ($CLR_{SR}$) property and implicit function, Journal of Mathematics and Computer Science, 25 (2022), no. 4, 341--350

##### AMA Style

Sharma P. K., Sharma Sh., Prevalent fixed point theorems on MIFM-Spaces using the ($CLR_{SR}$) property and implicit function. J Math Comput SCI-JM. (2022); 25(4):341--350

##### Chicago/Turabian Style

Sharma, P. K., Sharma, Sh.. "Prevalent fixed point theorems on MIFM-Spaces using the ($CLR_{SR}$) property and implicit function." Journal of Mathematics and Computer Science, 25, no. 4 (2022): 341--350

### Keywords

• Common fixed point
• common property (E-A)
• common limit in range property (CLR property)
• implicit function

•  47H10
•  54H25

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