Results 21 to 30 of about 284 (91)

On split common solution problems: new nonlinear feasible algorithms, strong convergence results and their applications

Fixed Point Theory and Applications, 2014
In this paper, we study and give examples for classes of generalized contractive mappings. We establish some new strong convergence theorems of feasible iterative algorithms for the split common solution problem (SCSP) and give some applications of these
Zhenhua He, Wei-Shih Du
semanticscholar   +2 more sources

Method of semidiscretization in time for quasilinearintegrodifferential equations

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 469-478, 2004., 2004
We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
wiley   +1 more source

Existence of solutions to neutral differential equations with deviated argument [PDF]

, 2008
In this paper we shall study a neutral differential equation with deviated argument in an arbitrary Banach space $X.$ With the help of the analytic semigroups theory and fixed point method we establish the existence and uniqueness of solutions of the ...
Bahuguna, D., Muslim, M.
core   +2 more sources

Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004
We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
wiley   +1 more source

An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 20, Page 1035-1045, 2004., 2004
We use Nadler′s theorem and the resolvent operator technique for m‐accretive mappings to suggest an iterative algorithm for solving generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces. We prove the existence of solutions for our inclusions without compactness assumption and the convergence of the ...
A. H. Siddiqi, Rais Ahmad
wiley   +1 more source

Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1943-1956, 2004., 2004
This paper deals with the applications of the method of semidiscretization in time to a nonlinear retarded differential equation with a nonlocal history condition. We establish the existence and uniqueness of a strong solution. Finally, we consider some applications of the abstract results.
S. Agarwal, D. Bahuguna
wiley   +1 more source

Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems

Abstract and Applied Analysis, Volume 2004, Issue 3, Page 183-203, 2004., 2004
In the case of K≠D(A)¯, we study Cauchy problems and periodic problems for nonlinear evolution equation u(t) ∈ K, u′(t) + Au(t)∋f(t, u(t)), 0 ≤ t ≤ T, where A isa maximal monotone operator on a Hilbert space H, K is a closed, convex subset of H, V is a subspace of H, and f : [0, T] × (K∩V) → H is of Carathéodory type.
Norimichi Hirano, Naoki Shioji
wiley   +1 more source

Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach [PDF]

, 2017
We prove existence of invariant measures for the Markovian semigroup generated by the solution to a parabolic semilinear stochastic PDE whose nonlinear drift term satisfies only a kind of symmetry condition on its behavior at infinity, but no restriction
Marinelli, Carlo, Scarpa, Luca
core   +2 more sources

A free boundary problem describing the saturated‐unsaturated flow in a porous medium

Abstract and Applied Analysis, Volume 2004, Issue 9, Page 729-755, 2004., 2004
This paper presents a functional approach to a nonlinear model describing the complete physical process of water infiltration into an unsaturated soil, including the saturation occurrence and the advance of the wetting front. The model introduced in this paper involves a multivalued operator covering the simultaneous saturated and unsaturated flow ...
Gabriela Marinoschi
wiley   +1 more source

Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces

, 2013
In ordered Banach spaces, characterizations of ordered (αA,λ)-weak-ANODD set-valued mappings are introduced and studied, which is applied to giving an approximate solution for a new class of general nonlinear mixed-order quasi-variational inclusions ...
Hong Gang Li, D. Qiu, Yangyang Zou
semanticscholar   +1 more source