In this paper, we introduce a new type of multi-valued 
-contraction mapping on a metric space endowed with a directed graph and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.
The existence theorem of a new multi-valued mapping in metric space endowed with graph
Kheawborisut, Araya, Suantai, Suthep and Kangtunyakarn, Atid
Abstract
carpathian_2017_33_2_191_198_abstractAdditional Information
| Author(s) | Kangtunyakarn, Atid, Kheawborisut, Araya, Suantai, Suthep |
|---|
Recently posted
-
Stability of new functional equations and partial multipliers in Banach *-algebras
-
Characterizations of amenable gyrogroups related to Tarski's Theorem
-
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
-
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
-
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
-
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
-
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
-
Consequences of the product rule in Stieltjes differentiability
-
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
-
A quaternionic product of simple ratios