International Journal For Multidisciplinary Research

E-ISSN: 2582-2160     Impact Factor: 9.24

A Widely Indexed Open Access Peer Reviewed Multidisciplinary Bi-monthly Scholarly International Journal

Call for Paper Volume 7, Issue 4 (July-August 2025) Submit your research before last 3 days of August to publish your research paper in the issue of July-August.

Fixed-Point Theorems within Graphical Cone Metric Spaces: Theory and Applications

Author(s) Rajani Dubey, Dr. Rohit Kumar Verma
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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