Fixed point results concerning α-F-contraction mappings in metric spaces

Lakshmi Kanta Dey; Poom Kumam; Tanusri Senapati

doi:10.4995/agt.2019.9949

Authors

Lakshmi Kanta Dey National Institute of Technology Durgapur
Poom Kumam King Mongkut's University of Technology Thonburi
Tanusri Senapati Indian Institute of Technology Guwahati

DOI:

https://doi.org/10.4995/agt.2019.9949

Keywords:

metric space, fixed point, generalized α-F-contraction, modified generalized α-F-contraction

Abstract

In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind of contractions. Necessarily, our results generalize and unify several results of the existing literature. Some examples are presented to substantiate the usability of our obtained results.

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Author Biographies

Lakshmi Kanta Dey, National Institute of Technology Durgapur

Department of Mathematics

Poom Kumam, King Mongkut's University of Technology Thonburi

Department of Mathematics

Tanusri Senapati, Indian Institute of Technology Guwahati

Department of Mathematics

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