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Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces

Author

Listed:
  • Çetin Cemal Özeken

    (Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara 06500, Turkey)

  • Cüneyt Çevik

    (Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Ankara 06500, Turkey)

Abstract

In this paper, we define ordered vectorial quasi contractions. We show that ordered quasi contractions are ordered vectorial quasi contractions, but the reverse is not true. We also define ordered vectorial almost contractions and present fixed point theorems for this type of contractions. Hence, we disclose many results in the literature. With the help of examples, we illustrate the relationship between these two types of contractions and some others in the literature.

Suggested Citation

  • Çetin Cemal Özeken & Cüneyt Çevik, 2021. "Ordered Vectorial Quasi and Almost Contractions on Ordered Vector Metric Spaces," Mathematics, MDPI, vol. 9(19), pages 1-8, October.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2443-:d:648339
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    Cited by:

    1. Hakan Sahin, 2022. "A New Best Proximity Point Result with an Application to Nonlinear Fredholm Integral Equations," Mathematics, MDPI, vol. 10(4), pages 1-14, February.

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