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
-
Weak and Strong Convergence of Split Douglas-Rachford Algorithms for Monotone Inclusions
-
Fixed point theorems for basic θ-contraction and applications
-
A Fast Forward-Backward Algorithm Using Linesearch and Inertial Techniques for Convex Bi-level Optimization Problems with Applications
-
Convergence of self-adaptive Tseng-type algorithms for split variational inequalities and fixed point problems
-
A fast contraction algorithm using two inertial extrapolations for variational inclusion problem and data classification
-
Periodic cycles for an extension of generalized 3x + 1 functions
-
Some remarks on expansive mappings in metric spaces
-
Asymptotically α hemicontractive mappings in Hilbert spaces and a new algorithm for solving associated split common fixed point problem
-
Extreme solution for fractional differential equation with nonlinear boundary condition
-
Generalized Split Feasibility Problem: Solution by Iteration