Fixed Points of Quadratic Contractions in Dislocated Quasi B-Metric Spaces and with an Application

 The purpose of this paper is to provide fixed point theorems for a self-map satisfying specified contraction criteria involving quadratic terms in the context of dislocated quasi b-metric spaces. Additionally, these results are used to compare two weakly compatible self-maps. The application to a differential equation is therefore inferred, and relevant examples are also provided to validate our findings. Our findings complement and strengthen the same findings in the literature.

Author(s) Details:

M. V. R. Kameswari,
GIT, GU, Visakhapatnam, India.

Please see the link here:  

Keywords: Dislocated quasi B-metric spaces, fixed points, common fixed points, quadratic contractions

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