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Subject = fixed point;
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Displaying Results 1  11 of 11 on page 1 of 1
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An intersection theorem for setvalued mappings
(2018)
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
An intersection theorem for setvalued mappings
(2018)
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
Abstract:
Given a nonempty convex set X in a locally convex Hausdorff topological vector space, a nonempty set Y and two setvalued mappings T: X a double dagger parts per thousand X, S: Y a double dagger parts per thousand X we prove that under suitable conditions one can find an x a X which is simultaneously a fixed point for T and a common point for the family of values of S. Applying our intersection theorem, we establish a common fixed point theorem, a saddle point theorem, as well as existence results for the solutions of some equilibrium and complementarity problems.
http://hdl.handle.net/10379/10143
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Existence criteria for integral equations in banach spaces
(2018)
O'Regan, Donal; Precup, Radu
Existence criteria for integral equations in banach spaces
(2018)
O'Regan, Donal; Precup, Radu
Abstract:
A Caratheodory existence theory for nonlinear Volterra and Urysohn integral equations in Banach spaces is presented using a Monch type approach.
http://hdl.handle.net/10379/9687
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Existence results for first and second order semilinear impulsive differential inclusions
(2018)
Górniewicz, Lech; Ntouyas, Sotiris K.; O'Regan, Donal
Existence results for first and second order semilinear impulsive differential inclusions
(2018)
Górniewicz, Lech; Ntouyas, Sotiris K.; O'Regan, Donal
Abstract:
In this paper we prove existence results for first and second order semilinear impulsive differential inclusions in Banach spaces.
http://hdl.handle.net/10379/9227
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Fixed point theorems for generalized contractions in ordered metric spaces
(2018)
O'Regan, Donal; Petruşel, Adrian
Fixed point theorems for generalized contractions in ordered metric spaces
(2018)
O'Regan, Donal; Petruşel, Adrian
http://hdl.handle.net/10379/13304
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Fixed points and homotopy results for ćirićtype multivalued operators on a set with two metrics
(2018)
Lazar, Tania; O'Regan, Donal; Petrusel, Adrian
Fixed points and homotopy results for ćirićtype multivalued operators on a set with two metrics
(2018)
Lazar, Tania; O'Regan, Donal; Petrusel, Adrian
Abstract:
The purpose of this paper is to present some fixed point results for nonself multivalued operators on a set with two metrics. In addition, a homotopy result for multivalued operators on a set with two metrics is given. The data dependence and the wellposedness of the fixed point problem are also discussed.
http://hdl.handle.net/10379/12400
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Fixed points for better admissible multifunctions on proximity spaces
(2018)
OʼRegan, Donal; Perán, Juan
Fixed points for better admissible multifunctions on proximity spaces
(2018)
OʼRegan, Donal; Perán, Juan
http://hdl.handle.net/10379/13303
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Fixed points of conditionally fcontractions in complete metriclike spaces
(2018)
Karapınar, Erdal; Kutbi, Marwan A; Piri, Hossein; O’Regan, Donal
Fixed points of conditionally fcontractions in complete metriclike spaces
(2018)
Karapınar, Erdal; Kutbi, Marwan A; Piri, Hossein; O’Regan, Donal
Abstract:
In this paper, we introduce the notion of a conditionally Fcontraction in the setting of complete metriclike spaces and we investigate the existence of fixed points of such mappings. Our results unify, extend, and improve several results in the literature.
http://hdl.handle.net/10379/12147
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Fixed points of generalized contractive mappings of integral type
(2018)
Alsulami, Hamed H; Karapınar, Erdal; O’Regan, Donal; Shahi, Priya
Fixed points of generalized contractive mappings of integral type
(2018)
Alsulami, Hamed H; Karapınar, Erdal; O’Regan, Donal; Shahi, Priya
Abstract:
The aim of this paper is to introduce classes of alphaadmissible generalized contractive type mappings of integral type and to discuss the existence of fixed points for these mappings in complete metric spaces. Our results improve and generalize fixed point results in the literature.
http://hdl.handle.net/10379/10228
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Inclusion and intersection theorems with applications in equilibrium theory in gconvex spaces
(2018)
Balaj, Mircea; O'Regan, Donal
Inclusion and intersection theorems with applications in equilibrium theory in gconvex spaces
(2018)
Balaj, Mircea; O'Regan, Donal
Abstract:
In this paper we obtain a very general theorem of rhocompatibility for three multivalued mappings, one of them from the class B. More exactly, we show that given a Gconvex space Y, two topological spaces X and Z, a (binary) relation rho on 2(Z) and three mappings P : X (sic) Z, Q : Y (sic) Z and T is an element of B(Y, X) satisfying a set of conditions we can find ((x) over tilde, (y) over tilde) is an element of X x Y such that (x) over tilde is an element of T((y) over tilde) and P((x) over tilde)rho Q((y) over tilde). Two particular cases of this general result will be then used to establish existence theorems for the solutions of some general equilibrium problems.
http://hdl.handle.net/10379/10329
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On the existence of fixed points that belong to the zero set of a certain function
(2018)
Karapinar, Erdal; O’Regan, Donal; Samet, Bessem
On the existence of fixed points that belong to the zero set of a certain function
(2018)
Karapinar, Erdal; O’Regan, Donal; Samet, Bessem
Abstract:
Let T : X &gt; X be a given operator and FT be the set of its fixed points. For a certain function phi : X &gt; [0,infinity), we say that FT is phiadmissible if FT is nonempty and FT subset of Z(phi), where Z(phi) is the zero set of phi. In this paper, we study the phiadmissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the BoydWong fixed point theorem.
http://hdl.handle.net/10379/12148
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Positive solvability of systems of nonlinear hammerstein integral equations
(2018)
Yang, Zhilin; O'Regan, Donal
Positive solvability of systems of nonlinear hammerstein integral equations
(2018)
Yang, Zhilin; O'Regan, Donal
http://hdl.handle.net/10379/10001
Displaying Results 1  11 of 11 on page 1 of 1
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