New Types of Integral Contractions in Supra Metric Space

  • Haitham Qawaqneh Department of Mathematics Faculty of IT and Science. Al-Zaytoonah University of Jordan (ZUJ), Jordan.
  • Rishikant Sharma Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, 124021, Haryana, India.
  • Dalip Singh Department of Mathematics, Baba Mastnath University, Asthal Bohar, Rohtak, 124021, Haryana, India.
  • Pankaj Kumar Department of Education, Govt. of Haryana, , Karnal, 132117, Haryana, India.
Keywords: fixed point, integral type A, integral type B, supra metric space

Abstract

In the present article, we shall define the new notions of generalized (S − ψ)contractions of integral type A and B and prove the related fixed point theoremsin the setting of supra metric space. Then, we shall deduce some new results fromthe proved results in the form of consequences. An example will also be given toshow the real existence of a proved result. Finally, as an application a Fredholmintegral equation is solved.
Published
2026-03-24
How to Cite
Qawaqneh, H., Sharma, R., Singh, D., & Kumar, P. (2026). New Types of Integral Contractions in Supra Metric Space. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3242
Section
Research Articles