Common Fixed Point Theorem for Two Pairs of Set Valued Mappings in G – Metric Space
| Vol-3 | Issue-08 | August 2018 | Published Online: 07 August 2018 PDF ( 496 KB ) | ||
| DOI: https://doi.org/10.5281/zenodo.1345472 | ||
| Author(s) | ||
A. Sebastian Selvaraj
1;
J. Maria Joseph
2
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1Research Scholar, P.G. and Research Department of Mathematics, St. Joseph’s College, Tiruchirappalli , Tamil Nadu (India) 2Assistant Professor, Department of Mathematics, St. Joseph’s College, Tiruchirappalli , Tamil Nadu (India) |
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| Abstract | ||
In this paper, we prove fixed point theorem and common fixed point theorem for two pairs of set valued mappings in G– metric spaces. Further, the famous Banach’s contraction principle and some of its generalizations and variants are realizable as special cases of our results. |
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| Keywords | ||
| Fixed point, complete metric space, set-valued mapping, G– metric space | ||
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