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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

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

Received 2 June 2014; Revised 10 July 2014; Accepted 13 July 2014; Published 7 August 2014
Academic Editor: Elena Braverman
Copyright © 2014 Chao Wang and **Ravi** **P**. **Agarwal**. This is an open access article

Waterloo , ON , Canada N2L 3G1 E-mail address:
1 Donal O'Regan: Department of Mathematics, National University of Ireland , Galway , Ireland E-mail address:
2 **Ravi** **P**. **Agarwal**: Department of Mathematical

In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces. MSC:34A07, 34A08.

**Ravi** **P** **Agarwal**
0
Ravindra K Bisht
Naseer Shahzad
0
In memory of Professors SP Singh
MA Al-Thagafi.
0
Department of Mathematics, King Abdulaziz University
, P.O. Box 80203, Jeddah, 21589,
Saudi

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...

In this paper, a fractional boundary value problem with a new boundary condition is studied. This new boundary condition relates the nonlocal value of the unknown function at ξ with its influence due to a sub-strip (η,1), where 0<ξ<η<1. The main results are obtained with the aid of some classical fixed point theorems and Leray-Schauder nonlinear alternative. A demonstration of...

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...

In this paper we propose a mathematical model for Reynolds’ equation of a compressible fluid on a multiconnected field which simulates the function of a hybrid bearing. The boundary conditions on the inner boundaries are derived from the flow-rate continuity through the supplying orifices and are expressed by means of an integro-differential nonlinear equation. We propose a...

Ahmed Alsaedi
0
Sotiris K Ntouyas
**Ravi** **P** **Agarwal**
0
Bashir Ahmad
0
0
Department of Mathematics, Faculty of Science, King Abdulaziz University
,
P.O. Box 80203, Jeddah, 21589
,
Saudi Arabia
In this

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.

In this paper, we show that some examples in (Mursaleen et al. in Fixed Point Theory Appl. 2012:124, 2012) are not correct. Then, we extend, improve and generalize their results. Finally, we state some examples to illustrate our obtained results. MSC:47H10, 54H25.

Mathematics, College of Sciences, Hohai University , Nanjing 210098, China E-mail address:
1 **Ravi** **P**. **Agarwal**: Department of Mathematical Sciences, College of Science, Florida Institute of Technology , Melbourne

Mathematics, College of Sciences, Hohai University , Nanjing 210098, China E-mail address:
1 **Ravi** **P**. **Agarwal**: Department of Mathematical Sciences, College of Science, Florida Institute of Technology , Melbourne

In this short note we point out that the recently announced notion, the C ∗ -valued metric, does not bring about a real extension in metric fixed point theory. Besides, fixed point results in the C ∗ -valued metric can be derived from the desired Banach mapping principle and its famous consecutive theorems.

Hindawi Publishing Corporation
Journal of Applied Mathematics and Stochastic Analysis
**RAVI** **P**. **AGARWAL** 0
DONAL O'REGAN 0
OLEKSANDR E. ZERNOV 0
0 Donal O'Regan: Department of Mathematics, National ... ? > 0 and ui ? , i ?
{1, 2}. Therefore T : ? is the continuous operator. To complete the proof of the
theorem, it suffices to apply the Schauder fixed point theorem to the operator T : .
?
**Ravi** **P**

Hindawi Publishing Corporation
Journal of Applied Mathematics and Stochastic Analysis
**RAVI** **P**. **AGARWAL** 0
DONAL O'REGAN 0
OLEKSANDR E. ZERNOV 0
0 Donal O'Regan: Department of Mathematics, National ... ? > 0 and ui ? , i ?
{1, 2}. Therefore T : ? is the continuous operator. To complete the proof of the
theorem, it suffices to apply the Schauder fixed point theorem to the operator T : .
?
**Ravi** **P**

In this paper, we discuss the existence and uniqueness of solutions for a Riemann-Liouville type fractional differential equation with nonlocal four-point Riemann-Liouville fractional-integral boundary conditions by means of classical fixed point theorems. An illustration of main results is also presented with the aid of some examples.MSC: 34A08, 34B10, 34B15.

No abstract