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<p>This paper builds upon the recent advances in fixed point theory for three-point contractions. In particular, Jleli et al. (Nonlinear Anal Model Control 30:312–332, 2025) established general fixed point results for both single-valued and multivalued three-point contractions, thereby providing a unifying framework that extends several classical results. Motivated by their work, we extend this line of research by focusing on specific contractive conditions in the multivalued setting. More precisely, we introduce novel generalizations of both Chatterjea-type and Kannan-type contractions for multivalued mappings in complete metric spaces. To validate the theoretical contributions, we also provide illustrative examples and an application to nonlinear integral inclusions, which demonstrate the applicability and effectiveness of the established results.</p>

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Fixed Point Theorems for Multivalued Mappings via Generalized Chatterjea and Kannan-Type Contractions in Complete Metric Spaces

  • 期刊论文

  • 发表日期：

    2026年4月9日

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  • Suman Upadhyay,
  • Pradip Debnath

摘要

This paper builds upon the recent advances in fixed point theory for three-point contractions. In particular, Jleli et al. (Nonlinear Anal Model Control 30:312–332, 2025) established general fixed point results for both single-valued and multivalued three-point contractions, thereby providing a unifying framework that extends several classical results. Motivated by their work, we extend this line of research by focusing on specific contractive conditions in the multivalued setting. More precisely, we introduce novel generalizations of both Chatterjea-type and Kannan-type contractions for multivalued mappings in complete metric spaces. To validate the theoretical contributions, we also provide illustrative examples and an application to nonlinear integral inclusions, which demonstrate the applicability and effectiveness of the established results.