• Dr. V. SHANMUGA SUNDARAM
• R. GANAVEL

We took for the following results u∈E,x∈B(u),y∈C(u),z∈D(u),v∈F(u) and w∈G(u) is the solution of problem (5.1) if and only if (u,x,y,z,v,w) satisfies the relation g(u)=m(w)+R_(η,M(∙,u))^(ρ,A) [A(g(u)-m(w) )-ρ(N(x,y)-W(z,v)+m(w) ) ] Where R_(η,M(∙,u))^(ρ,A)=(A+ρM(∙,u) )^(-1) and ρ∈(0,r/m) is a constant and Let E be a q-uniformly smooth Banach space and η:E×E→E be Lipschitz continuous mapping with constant T. Let A:E→E be r-strongly η-accretive and Lipschitz continuous mapping with constant λ_A,m:E→E be Lipschitz continuous mapping with constant λ_m and M:E×E→2^E be (A,η)-accretive mapping in the first argument such that g(u)-m(w)∈dom(M(∙,u) ), for all u,w∈E. Suppose N,W:E×E→E be Lipschitz continuous mappings in both arguments with constants λ_(N_1 ),λ_(N_2 ),λ_(W_1 ) and λ_(W_2 ) , respectively and B,C,D,F and G:E→CB(E) be H-Lipschitz continuous mappings with constants α,β,γ,μ and δ, respectively. Let g:E→E be (b,ξ)-relaxed cocoercive, Lipschitz continuous mapping with constant λ_g and strongly accretive with constant l.

Functional analysis, Stochastic process, Queuing theory And Inventory models.

"A COMPREHENSIVE REVIEW OF VARIOUS VARIATIONAL INEQUALITIES AND THEIR SYSTEMS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.476-487, June-2019, Available :http://www.jetir.org/papers/JETIR1906A73.pdf

"A COMPREHENSIVE REVIEW OF VARIOUS VARIATIONAL INEQUALITIES AND THEIR SYSTEMS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp476-487, June-2019, Available at : http://www.jetir.org/papers/JETIR1906A73.pdf