Generalized fixed point results of rational type contractions in partially ordered metric spaces

BMC Research Notes

N. Seshagiri Rao¹  K. Kalyani² 

[1] Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University;Department of Mathematics, Vignan’s Foundation for Science, Technology and Research;

关键词: Partially ordered metric spaces;    Generalized rational contractions;    Fixed point;    Ordered relation;    Integral contractions;   

DOI  :  10.1186/s13104-021-05801-7

来源: DOAJ

【 摘 要 】

Abstract Objectives We investigated the existence and uniqueness of a fixed point for the mapping satisfying generalized rational type contraction conditions in metric space endowed with partial order. Suitable examples are presented to justify the results obtained. Result Some new fixed point results have been obtained for a mapping fulfilling generalized contractions. The uniqueness of the fixed point is also the part of the study based on an ordered relation. One example is given for a result which is not valid in the usual metric space.

【 授权许可】

Unknown