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On the growth analysis of iterated entire functions
Ravi P. Agarwal,Sanjib Kumar Datta,Tanmay Biswas,Pulak Sahoo 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.1
In the paper we prove some results relating to the comparative growth properties of iterated entire functions using (p; q) -th order and (p; q)- th lower order.
FIXED POINT THEORY FOR MULTIMAPS IN EXTENSION TYPE SPACES
P. Agarwal, Ravi,O'ReganDonal,ParkSehie Korean Mathematical Society 2002 대한수학회지 Vol.39 No.4
New fixed Point results for the (equation omitted) selfmaps ale given. The analysis relies on a factorization idea. The notion of an essential map is also introduced for a wide class of maps. Finally, from a new fixed point theorem of ours, we deduce some equilibrium theorems.
Boundary Value Problems for differential Inclusions with Fractional Order
Ravi P. Agarwal,Mouffak Benchohra,Samira Hamani 장전수학회 2008 Advanced Studies in Contemporary Mathematics Vol.16 No.2
In this paper, we shall establish sucient conditions for the existence of so-lutions for a class of boundary value problem for fractional dierential inclusionsinvolving the Caputo fractional derivative. The both cases of convex and non-convex valued right hand sides are considered.
Ravi P. Agarwal,Ram U. Verma 영남수학회 2011 East Asian mathematical journal Vol.27 No.5
Abstract. Based on the A-maximal (m)-relaxed monotonicity frame-works, the approximation solvability of a general class of variational in-clusion problems using the relaxed proximal point algorithm is explored,while generalizing most of the investigations, especially of Xu (2002) on strong convergence of modied version of the relaxed proximal point al-gorithm, Eckstein and Bertsekas (1992) on weak convergence using the relaxed proximal point algorithm to the context of the Douglas-Rachford splitting method, and Rockafellar (1976) on weak as well as strong con-vergence results on proximal point algorithms in real Hilbert space set-tings. Furthermore, the main result has been applied to the context of the H-maximal monotonicity frameworks for solving a general class of vari-ational inclusion problems. It seems the obtained results can be used to generalize the Yosida approximation that, in turn, can be applied to rst-order evolution inclusions, and can also be applied to Douglas-Rachford splitting methods for nding the zero of the sum of two A-maximal (m)-relaxed monotone mappings.
RANDOM FIXED POINT THEOREMS AND LERAY-SCHAUDER ALTERNATIVES FOR U<sub>c</sub><sup>k</sup> MAPS
AGARWAL RAVI P.,REGAN DONAL O Korean Mathematical Society 2005 대한수학회논문집 Vol.20 No.2
This paper presents new random fixed point theorems for $U_c^k$ maps and new random Leray-Schauder alternatives for $U_c^k$ type maps. Our arguments rely on recent deterministic fixed point theorems and on a result on hemicompact maps in the literature.
Oscillation criteria for second order differential inclusions
Ravi P. Agarwal,Said R. Grace,Donal O`Regan 장전수학회 2008 Advanced Studies in Contemporary Mathematics Vol.16 No.1
Some new criteria for the oscillation of second order dierential inclusion(a(t)y.(t)). ∈ F(t,y(t)) for a.e.t≥t0 ≥0 are established.
On solutions of a generalized neutral logistic differential equation
Ravi P. Agarwal,J´ozef Bana´s,Reza Mollapourasl,T. Gnana Bhaskar 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.2
We study a generalized neutral logistic differential equation with deviating argument. Using the classical Banach contraction principle on an equivalent nonlinear functional integral equation we establish the existence of a unique solution in a certain function space. A few examples along with a numerical solutions are presented.
FIXED POINT THEORY FOR VARIOUS CLASSES OF PERMISSIBLE MAPS VIA INDEX THEORY
Agarwal, Ravi P.,O'Regan, Donal Korean Mathematical Society 2009 대한수학회논문집 Vol.24 No.2
In this paper we use degree and index theory to present new applicable fixed point theory for permissible maps.