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4.835  Articles
1 of 485 pages  |  10  records  |  more records»
We prove some general theorems on the convergence of successive approximations xn=Axn-1 to a fixed point of a nonlinear contraction mapping A defined on an E-metric space. We derive, as applications, some fixed point theorems in uniform spaces and an abst... see more

We consider the problem of existence and location of a solution of a nonlinearoperator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like met... see more

We consider the problem of existence and location of a solution of a nonlinearoperator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like met... see more

We consider a nonlinear elliptic Neumann problem driven by the p-Laplacian with a reaction that involves the combined effects of a “concave” and of a “convex” terms. The convex term (p-superlinear term) need not satisfy the Ambrosetti-Rabinowitz condition... see more

Existence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is established. The nonlinear operator is prescribed by Carathéodory's function which satisfies an ellipticity condition due to S. Campanato. The main results are r... see more

In this paper we prove some new conditions for Cauchy sequences by using the diameter of orbit in partial metric spaces. A fixed point theorem for Meir-Keeler type contractions in this space is established.

Existence of strong solutions to Cauchy-Dirichlet problem for nonlinear parabolic equation is established. The nonlinear operator is prescribed by Carathéodory's function which satisfies an ellipticity condition due to S. Campanato. The main results are r... see more

We establish a quadruple coincidence and common quadruple fixed point theorem for hybrid pair of mappings under generalized nonlinear contraction on a noncomplete metric space which is not partially ordered. It is to be noted that to find quadruple coinci... see more

We establish a quadruple coincidence and common quadruple fixed point theorem for hybrid pair of mappings under generalized nonlinear contraction on a noncomplete metric space which is not partially ordered. It is to be noted that to find quadruple coinci... see more

1 of 485 pages  |  10  records  |  more records»