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Author:Abimbola Abolarinwa
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper we prove a new monotonicity formula for the heat equation via a generalized family of entropy functionals. This family of entropy formulas generalizes both Perelman’s entropy for evolving metric and Ni’s entropy on static manifold. We show that this entropy sat...
Author:Binayak S. Choudhury , L. Kumar , T. Som ...
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper we utilize three functions to define a weak contraction in a cone metric space with a partial order and establish that this contraction has necessarily a fixed point either under the continuity assumption or an order condition which we state here. The uniqueness of ...
Author:Toufik Guendouzi , Lamia Bousmaha
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper, we consider the existence of square-mean piecewise almost periodic solutions for impulsive fractional stochastic evolution equations involving Caputo fractional derivative. The main results are obtained by means of the theory of operators semi-group, fractional cal...
Author:Veena L. Pujari
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this article, we investigate the meromorphic solutions of certain non-linear difference equations using Tumura-Clunie theorem and also provide examples which satisfy our results.
Author:Mohamed El Hamma , Radouan Daher
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper, we study two estimates useful in applications are proved for the Dunkl transform in a Hilbert space L2,α(R) = L2(R,|x|2α+1dx), α >−1/2 as applied to some classes of functions characterized by a generalized modulus of continuity.
Author:K. R. Prasad , B. M. B. Krushna
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:This paper deals with the existence of at least one and multiple positive solutions for p-Laplacian fractional order two-point boundary value problems, by applying Krasnosel’skii and five functionals fixed point theorems.
Author:Ajay Sharma , Balwant Singh Thakur
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper, we define K− proximal contraction and prove best proximity point theorem for this contraction. We also provide an illustrative example.
Author:G. S. Saluja
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:The purpose of this paper is to study modified S-iteration process to converge to common fixed point for two nearly asymptotically nonexpansive mappings in the framework of Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said m...
Author:Animesh Gupta , Neelesh Pandey
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper, we obtain some common fixed point theorems for four fuzzy mappings in complete ordered metric linear spaces. These mappings are assumed to satisfy certain contractive inequality involving functions which are generalizations of altering distance functions. We also n...
Author:Zoran Kadelburg , Stojan Radenovic
Data Source:[J].International Journal of Analysis and Applications, 2014, Vol.6 (1)Etamaths Publishing
Abstract:In this paper, we first prove a version of the fixed point theorem obtained in [V. Pata, A fixed point theorem in metric spaces, J. Fixed Point Theory Appl. 10 (2011) 299–305], adjusted for monotone mappings in ordered metric spaces, as well as some generalizations. Then we ...

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