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Fixed points of interval valued neutrosophic soft mappings

Murtaza Ghulam (Department of Mathematics, Government College University Faisalabad, Pakistan)
Abbas Mujahid (Department of Mathematics, Government College University Lahore Katchery Road, Lahore, Pakistan + Department of Mathematics and Applied Mathematics, University of Pretoria Hatfield, Pretoria, South Africa)
Ali Muhammad Irfan (Islamabad Model College for Girls, Islamabad, Pakistan)

In this paper, we introduce some new notions such as interval valued neutrosophic soft points, interval valued neutrosophic soft mappings, interval valued neutrosophic soft Hausdorff topological spaces, and interval valued neutrosophic soft compact topological spaces. Cantor’s intersection theorem is proved for interval valued neutrosophic soft sets. The aim of this paper is to establish the existence of fixed points of interval valued neutrosophic soft mappings on interval valued neutrosophic soft compact topological spaces. Some examples are provided to support the concepts and the results presented herein.

Keywords: Neutrosophic sets, interval valued neutrosophic sets, interval valued neutrosophic soft sets, soft sets, interval valued neutrosophic soft element, interval valued neutrosophic soft mapping, fixed point of interval valued neutrosophic soft mapping, interval valued neutrosophic soft compact topological space