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Coupled fixed point theorems by altering distances between points in partially ordered metric spaces

Research Authors
R. A. Rashwan and Shimaa I. M.
Research Abstract

In this paper, some coupled coincidence and common xed point theorems for two self
mappings have been derived which satisfy certain inequality involving a function of two variables
that measures the distance between points in ordered metric spaces. For particular choices of the
function several generalizations of many xed point theorems which contain altering distance
functions may be obtained. Our results can be applied directly to study multidimensional xed
point theorems which cover the concepts of coupled , tripled, quadruple xed point etc.

Research Department
Research Journal
Journal of Global Research in Mathematical Archives
Research Member
Research Publisher
NULL
Research Rank
1
Research Vol
Vol. 5, No. 4
Research Website
NULL
Research Year
2018
Research Pages
pp. 75-94