We describe a

nonlinear operator as [mathematical expression not reproducible] and thus

He added that the theme of the conference will cover the major areas of Mathematical sciences such as; Functional Analysis and its Applications, Fluid Dynamics, Fuzzy logic, Topological Vector Spaces and

Nonlinear Operator Theory, Best Approximations Theory, Soft Set Theory, Graph Theory, Algebra and more.

where [phi] is an unknown function in [LAMBDA](= [0, 1] x [0,1]) which should be determined and f(x, t), [[phi].sub.0](x) are known functions and N is a

nonlinear operator. The given functions f(x, t) and [phi](x, t) are assumed to be sufficiently smooth in order to guarantee the existence and uniqueness of a solution [phi] [member of] C(A).

where f is a

nonlinear operator defined on a convex subset D of a complex dimension space C.

of (18) we introduce the

nonlinear operator [N.sub.q]: [Y.sup.0.sub.q] [right arrow] [Y.sup.0.sub.q], as

He, "A Fixed Point Theorem for Systems of

Nonlinear Operator Equations and Applications to (p1, p2)-Laplacian System," Mediterranean Journal of Mathematics, vol.

Zhang, "Positive solutions for

nonlinear operator equations and several classes of applications," Mathematische Zeitschrift, vol.

The methodology which is adopted to predict the reservoir properties includes the estimation of a

nonlinear operator. This

nonlinear operator is then used to predict the well logs from the adjacent seismic attributes data (Lindseth, 1979).

The ADM combined with the use of symbolic algebra packages such as MATHEMATICA or MAPLE is a powerful method for solving

nonlinear operator equations including ordinary or partial differential equations [14, 36].

Let G : D [subset or equal to] X [right arrow] Y be a

nonlinear operator; [k.sub.0], k, [k.sub.1], [k.sub.2], [eta], and s are given parameters.

The

nonlinear operator eigenvalue problem we are concerned with consists of finding a value [lambda] [member of] B([mu], r) := {[lambda] [member of] C : [absolute value of [lambda] - [mu]] < r} close to [mu][member of] C and a nonzero function f such that