In this paper, the concept of set-valued contraction of Nadler type in the setting of tvscone spaceswas introduced and a fixed point theorem in the setting of tvs-cone spaceswith respect to a solid conewas proved. Obtained results extend and generalize themain results of [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475–488] and [D. Wardowski, On ...

We define the concept of generalized ϕ-pair mappings and prove some common fixed point theorems for this type of mappings. Our results generalize some recent results.

The purpose of this paper is to develop some fuzzy fixed point results for the sequence locally mappings satisfying rational type almost contractions in complete dislocated metric spaces. We apply our obtain new set-valued and single-valued mappings. also study stability γ-level sets. An example presented favor these results.

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

and Applied Analysis 3 Proof. As T and S form a K-Cyclic map, d x1, x2 d Tx0, Sx1 ≤ k d x0, Tx0 d x1, Sx1 1 − 2k d A,B k d x0, x1 d x1, x2 1 − 2k d A,B . 3.1 So, it follows that d x1, x2 ≤ k/ 1 − k d x0, x1 1 − k/ 1 − k d A,B . Similarly, it can be seen that d x2, x3 ≤ ( k 1 − k )2 d x0, x1 [ 1 − ( k 1 − k )2] d A,B . 3.2 Hence, it follows by induction that d xn, xn 1 ≤ ( k 1 − k )n d x0, x1 [ ...