Well Posedness of A Common Coupled Fixed Point Problem

Authors

  • Hassen Aydi Department of Mathematics, College of Education of Jubail, Imam Abdulrahman Bin Faisal University, P.O. 12020, Industrial Jubail 31961, Saudi Arabia; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
  • Mujahid Abbas Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore

DOI:

https://doi.org/10.26713/cma.v9i1.687

Keywords:

Coincidence point, Point of coincidence, Contractive type mappings, Well posedeness

Abstract

In this paper, we prove rst some common coupled xed point theorems for mappings \(T : X \times X\to X\) and \(g : X \to X\) satisfying a generalized contractive condition on a metric space. We provide examples of new concepts introduced herein. We also study the well posedness of a common coupled xed point problem. Our results generalize several well known comparable results in the literature.

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Published

30-04-2018
CITATION

How to Cite

Aydi, H., & Abbas, M. (2018). Well Posedness of A Common Coupled Fixed Point Problem. Communications in Mathematics and Applications, 9(1), 27–40. https://doi.org/10.26713/cma.v9i1.687

Issue

Vol. 9 No. 1 (2018)

Section

Research Article

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