Nonlinear Functional Analysis and Applications

The Basic Sciences Research Institute, Kyungnam University (경남대학교 기초과학연구소)
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A FIXED POINT THEOREM FOR NON-SELF G-CONTRACTIVE TYPE MAPPINGS IN CONE METRIC SPACE ENDOWED WITH A GRAPH

  • Sumitra, R. (Department of Mathematics Queen Mary's College, Affiliated to University of Madras) ;
  • Aruna, R. (Department of Mathematics Dr. M.G.R. Educational and Research Institute) ;
  • Hemavathy, R. (Department of Mathematics Queen Mary's College, Affiliated to University of Madras)
  • Received : 2020.09.03
  • Accepted : 2021.04.11
  • Published : 2021.12.15
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Abstract

In this paper, we prove a fixed point theorem for G-contractive type non-self mapping in cone metric space endowed with a graph. Our result generalizes many results in the literature and provide a new pavement for solving nonlinear functional equations.

Keywords

Acknowledgement

The authors would like to thank the reviewers for giving valuable suggestions and useful comments.

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