A brief comparison of various contractive conditions in a b-metric space is made, and two generalized fixed point theorems are established. One for a Nesic type contraction, and the other involving a generalized class of auxiliary functions. Also, contractive fixed points in a b-metric space are obtained for some contractive conditions. © 2020 Kyungnam University Press.

Phaneendra T

Department of Mathematics

School of Advanced Sciences

Vellore Campus

P. Swapna

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Journal	Nonlinear Functional Analysis and Applications
Publisher	Kyungnam University Press
ISSN	12291595