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Caristi’s Fixed Point Theorem in <i>G</i>-Cone Metric Spaces and Application
Department of Mathematics, University of Lagos, Lagos, Nigeria
Department of Mathematics and Statistics, Lagos State University of Science and Technology, Ikorodu, Nigeria
Department of Mathematics and Statistics, Lagos State University of Science and Technology, Ikorodu, Nigeria
- 1 Department of Mathematics, University of Lagos, Lagos, Nigeria
- 2 Department of Mathematics and Statistics, Lagos State University of Science and Technology, Ikorodu, Nigeria
- 3 Department of Mathematics and Statistics, Lagos State University of Science and Technology, Ikorodu, Nigeria
Advances in Pure Mathematics·Volume 12 (2022)·Pages 271–282·Published 6 April 2022·DOI10.4236/apm.2022.124021
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Abstract
In this work, we introduce a few versions of Caristi’s fixed point theorems in G -cone metric spaces which extend Caristi’s fixed point theorems in metric spaces. Analogues of such fixed point theorems are proved in this space. Our work extends a good number of results in this area of research.
KeywordsCaristi’s Fixed Point<i>G</i>-Cone Metric SpacesUnique Fixed PointCauchy Sequence
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