Theoretical analysis demonstrates relaxed conditions for fixed point theorems of q-expansive mappings in metric spaces, expanding the scope of expansive mapping theory.
The aim of this paper is to generalize the results on expansive mappings of Ye silkaya and Aydin from Fixed Point Results of Expansive Mappings in Metric Spaces [see Yeşilkaya, S. S.; Aydin, C. Fixed Point Results of Expansive Mappings in Metric Spaces. Mathematics 8 (2020), 1800]. In the present paper we show that the conditions imposed on the function θ can be relaxed. Thus, we present more general fixed point results for q-expansive mappings in metric spaces and prove some fixed point theorems for this class of mappings, via a different approach. Finally, we present some examples to support the new results.
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Popescu et al. (2024) studied this question.
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