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

Authors

  • V. Sihag Guru Jambheshwar University of Science & Technology, Hisar (Haryana) INDIA
  • A. Bamel Guru Jambheshwar University of Science and Technology, Hisar

Keywords:

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

Abstract

In the present article, the concepts of hesitant fuzzy mapping, contraction of hesitant fuzzy mapping, and generalized contraction of hesitant fuzzy mapping in the settings of the controlled metric-type spaces. The newly introduced notions are utilized to establish fixed-point theorems. Finally, the results are utilized to solve a Fredholm-type integral equation.

Author Biography

A. Bamel, Guru Jambheshwar University of Science and Technology, Hisar

Research Scholar,

Department of Mathematics, GJUS&T, Hisar

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)

Creative Commons License

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

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.