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special retract of E? provided
we assume (2.9) and replace (2.1) with (2.10).
Remark 2.8. In Theorem 2.6, note (2.11) could be replaced by (2.12).
**Ravi** **P**. **Agarwal**: Department of Mathematical Sciences

Hindawi Publishing Corporation
International Journal of Mathematics and Mathematical Sciences
**RAVI** **P**. **AGARWAL**
JEWGENI H. DSHALALOW
DONAL O'REGAN
New Leray-Schauder alternatives are presented for Mo ... ( 2000 ), no. 2 , 594 - 612 . **Ravi** **P**. **Agarwal**: Department of Mathematical Sciences, College of Science, Florida Institute of Technology, Melbourne, FL 32901 -6975, USA E-mail address: Jewgeni H. Dshalalow

In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and multi-strip boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples. Some new results are also deduced by fixing the parameters involved in the...

In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem {Δ2y(i−1)

In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applications to homotopy theory and nonlinear integral equations.

In this paper, we suggest some nonunique fixed results in the setting of various abstract spaces. The proposed results extend, generalize and unify many existing results in the corresponding literature.

We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti-periodic boundary conditions will also be highlighted.

We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti-periodic boundary conditions will also be highlighted.

In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational shifts. Using a matched space for time scales, a new concept of periodic time scales is introduced. Based on it, new concepts of...

**Agarwal** 2
Manuel De la Sen 0
0 Institute of Research and Development of Processes IIDP Faculty of Science and Technology, University of the Basque Country , Leioa , Spain
1 Department of Mathematics, Sari

In this paper we derive some identities for the solution of the problem of homogeneous and anisotropic micropolar thermoelasticity. These can be applied to proving uniqueness of the solution of the corresponding boundary initial value problem.

Calvert and Gupta’s results concerning the perturbations on the ranges of m-accretive mappings have been employed widely in the discussion of the existence of solutions of nonlinear elliptic differential equation with Neumann boundary. In this paper, we shall focus our attention on certain hyperbolic differential equation with mixed boundaries. By defining some suitable nonlinear...

We consider the Sturm-Liouville boundary value problem { y ( m ) ( t ) + F ( t , y ( t ) , y ′ ( t ) , … , y ( q ) ( t ) ) = 0 , t ∈ [ 0 , 1 ] , y ( k ) ( 0 ) = 0 , 0 ≤ k ≤ m − 3 , ζ y ( m − 2 ) ( 0 ) − θ y ( m − 1 ) ( 0 ) = 0 , ρ y ( m − 2 ) ( 1 ) + δ y ( m − 1 ) ( 1 ) = 0 , where m ≥ 3 and 1 ≤ q ≤ m − 2 . We note that the nonlinear term F involves derivatives. This makes the...

**P** **Agarwal** 1
Donal O'Regan 0
0 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland , Galway , Ireland
1 Department of Mathematics, Texas A&M University-Kingsville

In this paper, we study the existence of periodic solutions for a class of ordinary p-Laplacian systems. Our technique is based on the generalized mountain pass theorem of Rabinowitz. MSC: 47J30, 34B15, 34C25, 35B38.

In this paper we investigate a new kind of nonlocal multi-point boundary value problem of Caputo type sequential fractional integro-differential equations involving Riemann-Liouville integral boundary conditions. Several existence and uniqueness results are obtained via suitable fixed point theorems. Some illustrative examples are also presented. The paper concludes with some...

A new three-step iterative algorithm for approximating the zero point of the sum of an infinite family of m-accretive mappings and an infinite family of \(\mu_{i}\)-inversely strongly accretive mappings in a real q-uniformly smooth and uniformly convex Banach space is presented. The computational error in each step is being considered. A strong convergence theorem is proved by...

Some new iterative algorithms with errors for approximating common zero point of an infinite family of m-accretive mappings in a real Banach space are presented. A path convergence theorem and some new weak and strong convergence theorems are proved by means of some new techniques, which extend the corresponding works by some authors. As applications, an infinite p-Laplacian-like...