Abstract We extend the concept of R-subeommuting maps due to Shahzad to the case of non-starshaped domain and obtain a common fixed point result for this class of maps on non-starshaped domain in the setup of p-norra...Abstract We extend the concept of R-subeommuting maps due to Shahzad to the case of non-starshaped domain and obtain a common fixed point result for this class of maps on non-starshaped domain in the setup of p-norraed spaces. As applications, we establish noncommutative versions of various best approximation results for generalized I-nonexpansive maps on non-starshaped domain. Our results unify and extend that of Al- Thagafi, Dotson, IIabiniak, Jungck and Senna, Latif, Sahab, Khan and Sessa and Shahzad.展开更多
The main purpose of this paper is to prove some common fixed point theorems for pointwise R-subweakly commuting maps on non-starshaped domains in p-normed spaces and locally convex topological vector spaces. As applic...The main purpose of this paper is to prove some common fixed point theorems for pointwise R-subweakly commuting maps on non-starshaped domains in p-normed spaces and locally convex topological vector spaces. As applications, invariant approximation results are established. This work provides extension as well as substantial improvement of several results in the existing literature.展开更多
This paper studies the nonlocal suspension bridge equation with state-dependent delay in 2D space and the existence of attractors.First,by using Banach fixed point theorem and operator semigroup theory,the existence a...This paper studies the nonlocal suspension bridge equation with state-dependent delay in 2D space and the existence of attractors.First,by using Banach fixed point theorem and operator semigroup theory,the existence and uniqueness of mild solutions and continuous dependence on initial values of suspension bridge equations with state delay are proved.Then the bounded dissipativity of the related semi-group and the quasi-stability of the system are verified to obtain a global attractor with finite fractal dimension the existence of the attractor in the generalized index.展开更多
We introduce the notion of the contraction integrated semigroups and give the Lumber-Phillips characterization of the generator, and also the charaterazied generators of isometric integrated semigroups. For their appl...We introduce the notion of the contraction integrated semigroups and give the Lumber-Phillips characterization of the generator, and also the charaterazied generators of isometric integrated semigroups. For their application, a necessary and sufficient condition for q-matrices Q generating a contraction integrated semigroup is given, and a necessary and sufficient condition for a transition function to be a Feller-Reuter-Riley transition function is also given in terms of its q-matrix.展开更多
文摘Abstract We extend the concept of R-subeommuting maps due to Shahzad to the case of non-starshaped domain and obtain a common fixed point result for this class of maps on non-starshaped domain in the setup of p-norraed spaces. As applications, we establish noncommutative versions of various best approximation results for generalized I-nonexpansive maps on non-starshaped domain. Our results unify and extend that of Al- Thagafi, Dotson, IIabiniak, Jungck and Senna, Latif, Sahab, Khan and Sessa and Shahzad.
文摘The main purpose of this paper is to prove some common fixed point theorems for pointwise R-subweakly commuting maps on non-starshaped domains in p-normed spaces and locally convex topological vector spaces. As applications, invariant approximation results are established. This work provides extension as well as substantial improvement of several results in the existing literature.
文摘This paper studies the nonlocal suspension bridge equation with state-dependent delay in 2D space and the existence of attractors.First,by using Banach fixed point theorem and operator semigroup theory,the existence and uniqueness of mild solutions and continuous dependence on initial values of suspension bridge equations with state delay are proved.Then the bounded dissipativity of the related semi-group and the quasi-stability of the system are verified to obtain a global attractor with finite fractal dimension the existence of the attractor in the generalized index.
文摘We introduce the notion of the contraction integrated semigroups and give the Lumber-Phillips characterization of the generator, and also the charaterazied generators of isometric integrated semigroups. For their application, a necessary and sufficient condition for q-matrices Q generating a contraction integrated semigroup is given, and a necessary and sufficient condition for a transition function to be a Feller-Reuter-Riley transition function is also given in terms of its q-matrix.
