E ISSN: 2583-049X
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International Journal of Advanced Multidisciplinary Research and Studies

Volume 6, Issue 5, 2026

Existence of Fixed Point for Generalized Weak ψ-Contraction Mapping in Partially Ordered  b-Metric spaces with Applications to Nonlinear Volterra Integral Equation



Author(s): Liza Hazarika

Abstract:

This paper establishes novel fixed point existence theorems for self-mappings satisfying generalized weak ψ-contraction within the framework of partially ordered b- metric spaces. Furthermore, to validate the theoretical result, an application to a class of nonlinear Volterra integral equation is provided.


Keywords: Fixed Point, Generalized Weak ?-Contraction, Partially Ordered b-Metric Spaces, Volterra Integral Equation

Pages: 854-857

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