In this paper, we prove some common fixed point theorems for a pair of commuting as well as relatively asymptotically regular mappings defined on a (T, R) -orbitally complete metric space employing the orbital continuity of one of the involved maps. We also furnish suitable examples to demonstrate the utility of the hypotheses of our results. © 2020, Forum D'Analystes, Chennai.

Hemant Kumar Nashine

Department of Mathematics

School of Advanced Sciences

Vellore Campus

F. Rouzkard

M. Imdad

M. Asim

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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VIT University

Journal of Analysis

Common fixed point theorems on orbitally complete ordered metric spaces via asymptotic regularity

Journal	Data powered by TypesetJournal of Analysis
Publisher	Data powered by TypesetSpringer Science and Business Media B.V.
ISSN	09713611