
International Journal For Multidisciplinary Research
E-ISSN: 2582-2160
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A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal
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Volume 7 Issue 4
July-August 2025
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Fixed-Point Theorems within Graphical Cone Metric Spaces: Theory and Applications
Author(s) | Rajani Dubey, Dr. Rohit Kumar Verma |
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Country | India |
Abstract | This paper explores the foundational and advanced aspects of fixed-point theorems in the setting of graphical cone metric spaces. These structures generalize the classical metric spaces by incorporating the theory of cones in Banach spaces and the use of graph-theoretic properties. The research builds on the framework of cone metric spaces and integrates graph theory to extend the conditions under which fixed points exist and are unique. The paper presents key definitions, essential preliminaries, core propositions, and illustrative examples to provide a comprehensive understanding of the subject. |
Keywords | Fixed-point theorem, Graphical cone metric space (GCMS), Cone metric space, Contraction mapping, Banach-type contraction, Kannan-type mapping, Directed graphs in analysis, Nonlinear analysis, Ordered metric space, Applications of fixed-point theory. |
Published In | Volume 7, Issue 4, July-August 2025 |
Published On | 2025-07-17 |
DOI | https://doi.org/10.36948/ijfmr.2025.v07i04.51158 |
Short DOI | https://doi.org/g9tz4d |
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E-ISSN 2582-2160

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IJFMR DOI prefix is
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