Fixed Point Results for Enriched Interpolative Type Multivalued Contractions via a Simulation Function

Authors

  • Amit Gangwar H.N.B. Garhwal University, Srinagar Garhwal, Uttarakhand 246174, India.
  • Shivam Rawatb Department of Mathematics, Graphic Era (Deemed to be) University, Dehradun, Uttarakhand, 248002, India.
  • Hassen Aydi Institut Sup ́erieur d’Informatique et des Techniques de Communication, Universit ́e de Sousse, H. Sousse 4000, Tunisia. Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
  • Sarah Aljohani Prince Sultan University
  • Nabil Mlaiki Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia.

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5792

Keywords:

Convex metric space, simulation function, fixed point

Abstract

In this paper, using a simulation function in the sense of Khojasteh, we define multivalued enriched interpolative Kannan-type and Hardy-Rogers-type contractions from a convex metric space U to the collection of closed and bounded subsets of U . We establish two fixed points for these types of multivalued contractions. Our results are illustrated by examples and followed
by some corollaries. As a consequence of each main result, a theorem on data dependence of fixed point is proved.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Amit Gangwar, Shivam Rawatb, Hassen Aydi, Sarah Aljohani, Nabil Mlaiki

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How to Cite

Fixed Point Results for Enriched Interpolative Type Multivalued Contractions via a Simulation Function. (2025). European Journal of Pure and Applied Mathematics, 18(2), Article ID-5792. https://doi.org/10.29020/nybg.ejpam.v18i2.5792