Abstract
The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.
Highlights
One of the most important metrical fixed point theorem, Banach contraction principle, has been generalized in several directions, see for example [1]
We present coupled fixed point and coupled best proximity point results for cyclic coupled Ciric-type multivalued operators
Coupled fixed points of cyclic Ciric type single valued operators we present some coupled fixed point results for cyclic Ciric type operators on complete metric spaces
Summary
One of the most important metrical fixed point theorem, Banach contraction principle, has been generalized in several directions, see for example [1]. If Fðx; xÞ 1⁄4 x x is called a strong coupled fixed point of F (or, in several papers, a fixed point of F) Another generalization of the Banach principle was given by Kirk, Srinivasan and Veeramani using the concept of cyclic operators. The publisher wishes to inform readers that the article “Coupled fixed points and coupled best proximity points for cyclic Ciric type operators” was originally published by the previous publisher of the Arab Journal of Mathematical Sciences and the pagination of this article has been subsequently changed. There has been no change to the content of the article This change was necessary for the journal to transition from the previous publisher to the new one. (2019), “Coupled fixed points and coupled best proximity points for cyclic Ciric type operators”, Arab Journal of Mathematical Sciences, Vol 26 No 1/2, pp. The original publication date for this paper was 22/05/2019
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