Paper Title:

Viscosity Approximation Methods for Split Monotone Variational Inclusions and Fixed Point Problems of a Finite Family of ξ-Demimetric Mappings

Author(s):

Prashant Patel and Rahul Shukla

Department of Mathematics,
School of Advanced Sciences,
VIT-AP University, Inavolu,
Beside AP Secretariat,
Amaravati, 522237,
Andhra Pradesh,
India.
E-mail: prashant.patel9999@gmail.com, prashant.p@vitap.ac.in  

 
Department of Mathematical Sciences & Computing,
Walter Sisulu University,
Mthatha 5117,
South Africa.
E-mail: rshukla@wsu.ac.za
 

Abstract:

In this paper, we study viscosity approximation methods and present a new algorithm to find a common element of the fixed point of a finite family of ξ-demimetric mappings and the set of solutions of split monotone variational inclusion problem in Hilbert spaces. Under some conditions, we prove a strong convergence theorem which converges to this common solution.

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