SOLVING FREDHOLM INTEGRAL EQUATION VIA FIXED POINT THEOREM IN CONTROLLED METRIC TYPE SPACES

Authors

  • A. Bamel Research Scholar, Department of Mathematics, Guru Jambheshwar University of Science & Technology, Hisar, Haryana, India
  • V. Sihag Research Scholar, Department of Mathematics, Guru Jambheshwar University of Science & Technology, Hisar, Haryana, India

Keywords:

Fixed point, Hesitant fuzzy set, Controlled metric type space, Hesitant fuzzy mapping.

Abstract

In this paper, we present the concepts of hesitant fuzzy mapping, contraction of hesitant fuzzy mapping, and generalized contraction of hesitant fuzzy mapping within controlled metric-type spaces. These concepts are used to establish fixed-point theorems. Finally, the results are applied to solve a Fredholm-type integral equation.

Additional Files

Published

12/31/2025

Issue

Vol. 16 No. 2 (2025): July-December 2025

Section

Research Articles

License

Copyright (c) 2025 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.