In the present paper, we refine notion of partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate occurrence discrepancies in non-zero self-distance triangular inequality. support this, discuss non-trivial examples. Finally, prove a common fixed-point theorem for four self-mappings space an application our result; existence solution system Volterra integral equations is discuss...

Abstract The aim of this article is to present some Δ \Delta -convergence and strong convergence results for a countable family non-self mappings. More precisely, we employ Mann-Dotson’s algorithm approximate, common fixed points L n {...

An inverse spectral problem for the Sturm-Liouville operator with a singular potential from class $W_2^{-1}$ is solved by method of mappings. We prove uniqueness theorem, develop constructive algorithm solution and obtain necessary sufficient conditions solvability in self-adjoint non-self-adjoint cases.

We establish a fixed point theorem for certain non-self mappings of contractive type which take a nonempty and closed subset of a complete metric space X into X.

In this paper, we introduce the concept of a contractive type non-self mappings for a two pair of multi-valued and single-valued mappings in metric spaces and prove some results on coincidence and common fixed points in complete convex metric spaces. Our theorems generalize and improve the theorems of Imdad and Khan [M. Imdad, L. Khan, Some common fixed point theorems for a family of mappings i...

This manuscript contains several fixed point results for αΓ-F-fuzzy contractive mappings in the framework of orthogonal fuzzy metric spaces. The symmetric property guarantees that distance function is consistent and does not favour any one direction No matter how points are arranged, it enables a fair assessment separations between all them. In results, symmetry condition preserved types self-m...

In this article, we prove the existence of a best proximity point for F contractive nonself mappings and state some results in the complete metric spaces. Also we define two kinds of F proximal contraction and extend some best proximity theorems and improve the recent results. 2010 Mathematics Subject Classification: 46N40; 47H10; 54H25; 46T99

Let us consider a pair (A, B) of nonempty subsets of a metric space X and a mapping T : A → B. In this article, we introduced a notion called P−property and used it to prove sufficient conditions for the existence of a point x0 ∈ A, called best proximity point, satisfying d(x0, Tx0) = dist(A, B) := inf{d(a, b) : a ∈ A, b ∈ B}.