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COMMON FIXED POINT THEOREMS FOR THREE SELFMAPS OF A COMPLETE D*- METRIC SPACE

Upender. S

82-93

Vol. 9, Issue 1, Jan-Jun, 2019

Date of Submission: 2019-02-21 Date of Acceptance: 2019-04-27 Date of Publication: 2019-05-08

Abstract

Suppose (X, D*) is a D*- metric space and P, Q and T are selfmaps of X. If these three maps and the space X satisfy certain conditions, we shall prove that they have a unique common fixed point in this paper. As a consequence we deduce a common fixed point theorem for three selfmaps of a complete D*- metric space. Further, we show that a common fixed point theorem for three selfmaps of a metric space proved by S. L. Singh and S. P. Singh ([9]) follows as a particular case of the theorem.

References

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