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A new type of fixed point results for modified weak contraction in cubic terms of metric via simulation function

Abstract

In this manuscript, we introduce new notion of modified weak contraction in cubic terms of metric via simulation functions and establish fixed point results for this kind of operator in the framework of complete metric space. Our result is an extension of weak contraction in complete metric space which generalize some existing results. Moreover, example is given to illustrate the attained sequel.

2020 Mathematics Subject Classification:

47H10, 54H25

Keywords

simulation function, modified weak contraction, fixed point

Full text

Author Details

Sahil Arora

Department of Mathematics
K.R.M.D.A.V. College
Nakodar, Punjab, 144040, India
(Affiliated to Guru Nanak Dev University, Amritsar)
e-mail: drprofsahilarora@gmail.com


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