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A Survey on Interpolative and Hybrid Contractions

In: Mathematical Analysis in Interdisciplinary Research

Author

Listed:
  • Erdal Karapınar

    (China Medical University Hospital, China Medical University
    Çankaya University)

Abstract

In this chapter, we consider the distinct hybrid type contractions in various abstract spaces. In this work, hybrid contraction refers to combination of not only linear and nonlinear contractions, but also interpolative contractions. The main goal of the chapter is to clarify the metric fixed point theory literature by using the hybrid type contractions that unify several well-known results.

Suggested Citation

  • Erdal Karapınar, 2021. "A Survey on Interpolative and Hybrid Contractions," Springer Optimization and Its Applications, in: Ioannis N. Parasidis & Efthimios Providas & Themistocles M. Rassias (ed.), Mathematical Analysis in Interdisciplinary Research, pages 431-475, Springer.
  • Handle: RePEc:spr:spochp:978-3-030-84721-0_20
    DOI: 10.1007/978-3-030-84721-0_20
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