Fixed Point Theorem and Applications to Systems of Hammerstein Type Integral Equations


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Authors

  • Deepchand Gupta Department of Mathematics and Information Technology, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India
  • Ajay Kumar Singh Department of Mathematics and Information Technology, Madhyanchal Professional University, Bhopal, Madhya Pradesh, India

Keywords:

Cone, boundary value problem, fixed point index, positive solution, nonlocal boundary conditions, system

Abstract

In this paper we present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions for systems of nonlinear Hammerstein integral equations. An example is also presented to show the applicability of our results.

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Published

13-06-2026

How to Cite

Deepchand Gupta, & Ajay Kumar Singh. (2026). Fixed Point Theorem and Applications to Systems of Hammerstein Type Integral Equations. International Journal of Mathematics And Its Applications, 14(2), 23–34. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1722

Issue

Vol. 14 No. 2 (2026)

Section

Research Article

License

Copyright (c) 2026 International Journal of Mathematics And its Applications

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