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Now showing items 1-10 of 21

#### Partial cone metric space and some fixed point theorems

(Işık University Press, 2013)

In the present paper, we have proved some convergence properties of a sequence of elements in a partial cone metric space and thereby we have established some fixed point theorems on it.

#### Fixed points of contractive set valued mappings with set valued domains on a metric space with graph

(Işık University Press, 2014)

In this article we consider general contractive mappings of the form F : CB(X) → CB(X), where CB(X) is the set of all nonempty closed and bounded subsets of a complete metric space X endowed with a graph G. We prove some ...

#### Approximate controllability of semilinear control systems in hilbert spaces

(Işık University Press, 2012-01-03)

This paper deals with the approximate controllability of semilinear evolution systems in Hilbert spaces. Sufficient condition for approximate controllability have been obtained under natural conditions.

#### Solvability of second order delta-nabla p-laplacian m-point eigenvalue problem on time scales

(Işık University Press, 2015)

In this paper, we are concerned with the following eigenvalue problem of m-point boundary value problem for p-Laplacian dynamic equation on time scales, (ϕp(u∆(t)))∇ + λh(t)f(u(t)) = 0, t ∈ [a, b]T’ u(a) − u∆(a) = ...

#### New results on cyclic nonlinear contractions in partial metric spaces

(Işık University Press, 2015)

In this paper we study the concept of non-linear cyclic Kannan and Chatterjea contractions in partial metric spaces and we prove some new theorems on fixed point for these types of mappings extending some fixed point ...

#### G-(F; τ )-contractions in partial rectangular metric spaces endowed wıth a graph and fixed point theorems

(Işık University Press, 2016-06-22)

In this paper, the notion of G-(F, τ )-contractions in the context of partial rectangular metric spaces endowed with a graph is introduced. Some fixed point theorems for G-(F, τ )-contractions are also proved. The results ...

#### Stability of a functional equation in complex banach spaces

(Işık University Press, 2016-03-14)

Using fixed point technique, in the present paper , we wish to examine generalization of the Hyers-Ulam-Rassias stability theorem for the functional equations f ( 2 x + i y ) + f ( x + 2 i y ) = 4 f ( x + i y ) + f ( x ) ...

#### Existence of nonoscillatory solutions of second-order neutral differential equations

(Işık University Press, 2019)

We obtain some sufficient conditions for the existence of nonoscillatory solutions of nonlinear second order neutral differential equation with forcing term. Our results improve and extend some existing results. Examples ...

#### Generalized fixed point results with multi-valued mappings

(Işık University Press, 2020)

In this article we deduce fixed point results for multi-valued contraction mappings. We primarily established two fixed results. One of them is the generalization of Nadler’s contraction and the other result is the ...

#### Mix-point property in quasi-pseudometric spaces

(Işık University Press, 2019)

In this article, we give new results in the startpoint theory for quasi-pseudometric spaces. The results we present provide us with the existence of startpoint (endpoint, fixed point) for multi-valued maps defined on a ...