A Multi-Valued Fixed Point Theorem for Quasi-Contractions on a Cone Metric Space

Authors

• Regina Mahadewsing, Department of Mathematics and Natural Sciences, Anton de Kom University of Suriname, Paramaribo, Suriname.
• Sreedhara Rao Gunakala, Department of Mathematics and Statistics, The University of the West Indies, St. Augustine, Trinidad and Tobago.Follow
• Vikash Ramcharitar, Department of Mathematics and Statistics, The University of the West Indies, St. Augustine, Trinidad and Tobago.
• Reddappa Bandi, Department of Mathematics, J.B. Institute of Engineering & Technology, Moinabad, R.R. District, Hyderabad, Telangana , India.
• Akhenaton Daaga, Department of Mathematics and Statistics, The University of the West Indies, St. Augustine, Trinidad and Tobago.
• Thameem Basha H, Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, Ulsan, South Korea.

Subject Area

Mathematics and Engineering Physics

Article Type

Special Issue Original Study

Abstract

A set-valued (multi-valued)  mapping  assigns to each  a nonempty closed and bounded subset . Using this notion, the present work broadens classical fixed point theory by proving a fixed point theorem for multi-valued quasi-contractive mappings in cone metric spaces. The developed argument extends several earlier results that were restricted to single-valued maps and more familiar set-valued settings, thereby providing a wider analytical framework within ordered Banach-space structures. These contributions enrich fixed point theory in generalized metric environments and can be relevant to problems in nonlinear analysis and optimization

Keywords

Cone metric space, quasi-contraction, multi-valued map, fixed point theorem.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 License.

Recommended Citation

Mahadewsing, Regina; Gunakala, Sreedhara Rao; Ramcharitar, Vikash; Bandi, Reddappa; Daaga, Akhenaton; and Basha H, Thameem (2026) "A Multi-Valued Fixed Point Theorem for Quasi-Contractions on a Cone Metric Space," Mansoura Engineering Journal: Vol. 51 : Iss. 4 , Article 18.
Available at: https://doi.org/10.58491/2735-4202.3483