In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings a metric space (resp. an S-metric space). The fixed-disc fixed-circle) problem has been investigated in setting. To obtain new results, modify some known fixed-point techniques. Illustrative examples are also given to show validity our main results.

In this paper, the notion of limit property (-Tayyab kamran, 2004-) and common (-Yicheng Liu & Jun Wu Zhixiang Li, 2005-) for singlevalued multi-valued mappings on metric spaces are generalized to S-metric spaces. This idea is used make some fixed point theorems by using a generalization coincidence in We give an example which not continuous.

Objectives: To establish a fixed-point theorem on complete S -metric space. Methods: By using (E.A)-property of self-maps and applying the concept strong comparison function. Findings: Obtained unique common for four S-metric space validated it with suitable example. Novelty: utilizing weak compatibility together (E.A)- property, fixed point is obtained which more robust generalization existing...

a t f t, u t 0, t ∈ 0, 1 T , u 0 0, u 1 ∑m−2 i 1 aiu ξi , where T is a time scale, φp s |s|p−2s, p > 1, some new results are obtained for the existence of at least one, two, and three positive solution/solutions of the above problem by using Krasnosel′skll′s fixed point theorem, new fixed point theorem due to Avery and Henderson, as well as Leggett-Williams fixed point theorem. This is probably...