NEW COINCIDENCE POINT THEOREMS IN CONTINUOUS FUNCTION SPACES AND APPLICATIONS

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972708001123 ◽

2009 ◽

Vol 80 (1) ◽

pp. 26-37 ◽

Cited By ~ 1

Author(s):

JUN WU ◽

YICHENG LIU

Keyword(s):

Fixed Point ◽

Continuous Function ◽

Fixed Point Theorem ◽

Point Theorem ◽

Coincidence Point ◽

Function Spaces ◽

Hybrid Mapping

AbstractIn this paper, some new coincidence point theorems in continuous function spaces are presented. We show the hybrid mapping version and multivalued version of both Lou’s fixed point theorem (Proc. Amer. Math. Soc.127 (1999)) and de Pascale and de Pascale’s fixed point theorem (Proc. Amer. Math. Soc.130 (2002)). Our new results encompass a number of previously known generalizations of the theorems. Two examples are presented.

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On injections and surjections of continuous function spaces

Israel Journal of Mathematics ◽

10.1007/bf02787573 ◽

1973 ◽

Vol 15 (3) ◽

pp. 301-310 ◽

Cited By ~ 3

Author(s):

D. Amir ◽

B. Arbel

Keyword(s):

Continuous Function ◽

Function Spaces

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Well-posedness of second order degenerate differential equations with infinite delay in Hölder continuous function spaces

Journal of Integral Equations and Applications ◽

10.1216/jie.2021.33.171 ◽

2021 ◽

Vol 33 (2) ◽

Author(s):

Shangquan Bu ◽

Yuchen Zhong

Keyword(s):

Continuous Function ◽

Differential Equations ◽

Infinite Delay ◽

Function Spaces ◽

Second Order ◽

Well Posedness ◽

Hölder Continuous ◽

Order Degenerate ◽

Degenerate Differential Equations

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Interpolation by Continuous Function Spaces

Multivariate Approximation and Splines ◽

10.1007/978-3-0348-8871-4_7 ◽

1997 ◽

pp. 83-88

Author(s):

Manfred von Golitschek

Keyword(s):

Continuous Function ◽

Function Spaces

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Density Problems in Sobolev’s Spaces on Time Scales

Kragujevac Journal of Mathematics ◽

10.46793/kgjmat2102.215c ◽

2021 ◽

Vol 45 (02) ◽

pp. 215-223

Author(s):

AMINE BENAISSA CHERIF ◽

FATIMA ZOHRA LADRANI

Keyword(s):

Continuous Function ◽

Time Scales ◽

Time Scale ◽

Function Spaces ◽

First Order ◽

Example Spaces

In this paper, we present a generalization of the density some of the functional spaces on the time scale, for example, spaces of rd-continuous function, spaces of Lebesgue Δ-integral and ﬁrst-order Sobolev’s spaces.

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Fixed point theorems in piecewise continuous function spaces and applications to some nonlinear problems

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2809 ◽

2013 ◽

Vol 37 (4) ◽

pp. 508-517 ◽

Cited By ~ 19

Author(s):

Yicheng Liu ◽

Jun Wu

Keyword(s):

Fixed Point ◽

Continuous Function ◽

Fixed Point Theorems ◽

Nonlinear Problems ◽

Function Spaces ◽

Piecewise Continuous Function ◽

Piecewise Continuous

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Compact Convex Sets and Continuous Function Spaces

Normed Linear Spaces ◽

10.1007/978-3-662-41637-2_5 ◽

1962 ◽

pp. 77-96

Author(s):

Mahlon M. Day

Keyword(s):

Continuous Function ◽

Convex Sets ◽

Compact Convex ◽

Function Spaces

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A Remark on Isometries of Absolutely Continuous Spaces

Journal of Function Spaces ◽

10.1155/2020/3290840 ◽

2020 ◽

Vol 2020 ◽

pp. 1-3

Author(s):

Alireza Ranjbar-Motlagh

Keyword(s):

Continuous Function ◽

Composition Operator ◽

Real Line ◽

Weighted Composition Operator ◽

Function Spaces ◽

Absolutely Continuous ◽

The Real ◽

Absolutely Continuous Function ◽

Weighted Composition ◽

Vector Valued

The purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator.

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