Abstract

GUPTA, Vishal; MANI, Naveen  and  SHARMA, Amit. Some novel fixed-point theorems in Hausdorff spaces. J. appl. res. technol [online]. 2021, vol.19, n.1, pp.35-40.  Epub July 30, 2021. ISSN 2448-6736.

In this paper existence and uniqueness of fixed points are proved for self maps, satisfying a new contraction without assuming the compatibility and commutative property of maps. Some remarks and applications to integral type contraction are given to illustrate the importance of our results. An open problem for future research is also given.

Keywords : mappings; fixed point; Hausdorff space; integral contraction; applications.

        · text in English     · English ( pdf )