Abstract
This paper deals with fixed point theory and fixed point property in minimal spaces. We will prove that under some conditions f : (X,M) → (X,M) has a fixed point if and only if for each m-open cover {Bα} for X there is at least one x ∈ X such that both x and f(x) belong to a common Bα. Further, it is shown that if (X,M) has the fixed point property, then its minimal retract subset enjoys this property.
Subject
Applied Mathematics,Analysis
Cited by
7 articles.
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2. On NS-open sets in minimal structure spaces;2ND INTERNATIONAL CONFERENCE OF MATHEMATICS, APPLIED SCIENCES, INFORMATION AND COMMUNICATION TECHNOLOGY;2023
3. On m* − g−closed sets and m* − R0 spaces in a hereditary m−space (X, m, H);THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019);2019
4. Minimal spaces with a mathematical structure;Journal of the Association of Arab Universities for Basic and Applied Sciences;2017-02
5. Some fixed point theorems in locally p-convex spaces;Fixed Point Theory and Applications;2013-11-25