A recent study led by AUN's Professor of Mathematics, Dr. Sirajo Yahaya, in the Department of Mathematics and Statistics of the School of Arts and Sciences, has been published in the American Institute of Mathematical Sciences journal. Prof. Sirajo Yahaya, Mohammed Shehu Shagari, and Tijani Abba Ali collaborated in the study "Multivalued Hybrid Contraction That Involves Jaggi and Pata-Type Inequalities," published in November 2023.
In their study, a new concept of multivalued contraction is defined from a combination of Jaggi-type contractions, interpolative-type con-traction and Pata-type inequality in the framework of metric space, and they analyze the existence of fixed points for such contractions equipped with some suitable hypotheses.
The purpose and one of the motivations forming their paper's background is that the fixed point of a single-valued mapping satisfying the interpolative contractive condition is not necessarily unique, thereby making the notions more appropriate for fixed point theorems of multivalued mappings.
A few important consequences, including the single-valued cases, are highlighted and discussed to indicate the significance of the proposed ideas with a comparative example.
The paper concludes with a new concept of multivalued contraction defined from a combination of Jaggi-type contractions, interpolative-type contraction, and Pata-type inequality in the framework of metric space.
Please use the link below to access the paper.
Reported by John Abah