Results 71 to 79 of about 511 (79)

Coupled best proximity point theorems for $p$-cyclic $φ$-contraction and $p$-cyclic Kannan nonexpansive mappings [PDF]

open access: yesarXiv
In this paper, the notions of $p$-cyclic $\phi$-contraction and $p$-cyclic Kannan nonexpansive mappings are introduced, and the existence of coupled best proximity points for such mappings is established.
arxiv  

On bivariate fractal interpolation for countable data and associated nonlinear fractal operator

open access: yesDemonstratio Mathematica
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar   +2 more
doaj   +1 more source

On a generalized Krasnoselskii fixed point theorem

open access: yesOpen Mathematics
This study concerns a Krasnoselskii-type fixed point theorem for the sum of two operators A,BA,B in a Banach space EE, where BB is a Reich-type contractive mapping and AA is a k-set contractive mapping.
Pham Hien Van
doaj   +1 more source

The fixed point theorems of 1-set-contractive operators in Banach space

open access: yesFixed Point Theory and Applications, 2011
In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree. Our results and methods are different from
Wang Shuang
doaj  

MR3136189 Reviewed Merghadi, F.; Godet-Thobie, C. Common fixed point theorems under contractive conditions of integral type in symmetric spaces. Demonstratio Math. 46 (2013), no. 4, 757–780. (Reviewer: Pasquale Vetro) 47H10 (47H09)

open access: closed, 2014
The problem of establishing the existence of fixed points for mappings satisfying weak contractive conditions in metric spaces has been widely investigated in the last few decades. More recently, many papers have been published extending this study to various metric contexts.
Pasquale Vetro
openaire   +2 more sources
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MR3098564 Reviewed Al-Thagafi, M. A.; Shahzad, Naseer Krasnosel'skii-type fixed-point results. J. Nonlinear Convex Anal. 14 (2013), no. 3, 483–491. (Reviewer: Calogero Vetro) 47H10 (47H09)

2014
The Krasnosel'skii fixed-point theorem is a powerful tool in dealing with various types of integro-differential equations. The initial motivation of this theorem is the fact that the inversion of a perturbed differential operator may yield the sum of a continuous compact mapping and a contraction mapping.
openaire   +1 more source

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