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A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

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

A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

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

A Further Study of Almost Periodic Time Scales with Some Notes and Applications

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

A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps

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

A Schauder fixed point theorem in semilinear spaces and applications

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.

A comparison of various noncommuting conditions in metric fixed point theory and their applications

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

A matched space for time scales and applications to the study on functions

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...

A new class of fractional boundary value problems

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 iterative algorithm for the sum of infinite m-accretive mappings and infinite \(\mu_{i}\) -inversely strongly accretive mappings and its applications to integro-differential systems

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...

A nonlinear equation for fluids in multiconnected domain

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...

A nonlocal multi-point multi-term fractional boundary value problem with Riemann-Liouville type integral boundary conditions involving two indices

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

A note on Ćirić type nonunique fixed point theorems

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.

A note on ‘Coupled fixed point theorems for α-ψ-contractive-type mappings in partially ordered metric spaces’

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.

A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

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

A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

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

A short note on C ∗ -valued contraction mappings

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.

A singular initial value problem for some functional differential equations

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

A singular initial value problem for some functional differential equations

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

A study of Riemann-Liouville fractional nonlocal integral boundary value problems

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.