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Research Article Open access CC BY 4.0

A Survey on Kannan Mappings in Universalized Metric Spaces

Ali Mutlu, Nermin Yolcu, Berrin Mutlu

Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 12 Jul 2016

10.9734/BJMCS/2016/25443

Abstract

In this manuscript, firstly, Kannan contraction type mapping is universalised. Secondly, the unique fixed point of the universalized Kannan contraction type mappings in universalized metric space is verified. Furthermore, we clarify that it can not have a fixed point in metric space.

Universalized metric space Universalized Kannan contraction type mappings fixed point

References (8)

  1. 1 A fixed point theorem of Banach--Caccioppoli type on a class of generalized metric spaces [DOI]
  2. 2 Fixed points of Kannan mappings in metric spaces endowed with a graph [DOI]
  3. 3 Fixed point of contractive mappings in generalized metric spaces [DOI]
  4. 4 A FIXED POINT THEOREM ON A CLASS OF GENERALIZED METRIC SPACES
  5. 5 Fixed point theorems on b-metric spaces for weak contractions with auxiliary functions [DOI]
  6. 6 Some generalizations of Kannan's fixed point theorem in K-metric spaces
  7. 7 A fixed point theorem of Caccioppoli - Kannan type on a class of generalized metric spaces [DOI]
  8. 8 On Caccioppoli-Kannan type fixed point principle in generalized metric spaces [DOI]

Cited by 2

Jungck type fixed point results for weakly compatible mappings in a rectangular soft metric space

Simge Öztunç, Sedat Aslan · Journal of Inequalities and Applications · 2019

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