Fixed point theorems on an orthogonal metric space using Matkowski type contraction

Authors

  • B. Singh Guru Jambheshwar University of Science and Technology, 125001, Hisar, India
  • V. Singh Guru Jambheshwar University of Science and Technology, 125001, Hisar, India
  • I. Uddin Jamia Millia Islamia, 110025, New Delhi, India
  • Ö. Acar Selcuk University, Konya, Turkey https://orcid.org/0000-0001-6052-4357
https://doi.org/10.15330/cmp.14.1.127-134

Keywords:

fixed point, orthogonal set, orthogonal metric space, metric space
Published online: 2022-06-17

Abstract

The purpose of this paper is to prove Boyd-Wong and Matkowski type fixed point theorems in orthogonal metric space which was defined by M.E. Gordji in 2017 and is an extension of the metric space. Some examples are established in support of our main results. Finally, we apply our results to establish the existence of a unique solution of a periodic boundary value problem.

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How to Cite
(1)
Singh, B.; Singh, V.; Uddin, I.; Acar, Ö. Fixed Point Theorems on an Orthogonal Metric Space Using Matkowski Type Contraction. Carpathian Math. Publ. 2022, 14, 127-134.