Common Fixed Point Theorems for Three Selfmaps of a Complete S-Metric Space
Upender S
Associate Professor of Mathematics, Tara Government College (Autonomous), Sangareddy - 502001, India
Receiving Date:
2023-02-21
Acceptance Date:
2023-03-16
Publication Date:
2023-03-27
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http://doi.org/10.37648/ijrst.v13i01.013
Abstract
Suppose (X, S) is a S- 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 S- 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.
Keywords:
S-metric space; Compatible; Fixed point theorem
References
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