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http://dx.doi.org/10.22771/nfaa.2021.26.05.18

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)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.5, 2021 , pp. 1105-1114 More about this Journal
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
G-contractive type mapping; symmetric graph; subgraph; non-self mapping;
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