We present new fixed point theorems for inward and weakly inward Urysohn type maps. Also we discuss Mönch Kakutani and contractive type maps.

Since 1964, when I.A. Perov introduced the so-called generalized metric space where d(x,y) is an element of vector Rm, many researchers have considered various contractive conditions in this type space. In paper, we generalize, extend and unify some those established results. We are primarily concerned with examining existence a fixed point mapping from X to itself, but if (x,y) belongs relatio...

In the present paper, we provide and verify several results obtained by using Chatterjea C`iric` fixed-point theorems (α−ψ)-contractive mapping in C*-algebra-valued metric space. We some examples an application to illustrate our results. Our study extends generalizes of studies literature.

and Applied Analysis 3 Lemma 7 (see [15]). LetC be a nonempty closed convex subset of a real Hilbert space H. Let T : C 󳨃→ C be a k-strict pseudo-contractive mapping. Let γ and δ be two nonnegative real numbers such that (γ + δ)k ≤ γ; then 󵄩󵄩󵄩γ (x − y) + δ (Tx − Ty) 󵄩󵄩󵄩 ≤ (γ + δ) 󵄩󵄩󵄩x − y 󵄩󵄩󵄩 , ∀x, y ∈ C. (21) Lemma 8 (see [16]). Let H be a Hilbert space and C a nonempty convex subset of H. Let...