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We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed points for a finite fa...
We use the order relation on uniform spaces defined by Altun and Imdad (2009) to prove some new fixed-point and coupled fixed-point theorems for multivalued monotone mappings in ordered uniform spaces.
The strong convergence theorem is proved for finding a common solution for a system of equilibrium problems: find
where
We prove several strong convergence theorems for the Ishikawa iterative sequence with errors to a fixed point of strictly pseudocontractive mapping of Browder-Petryshyn type in Banach spaces and give sufficien...
Using the fixed-point method, we prove the generalized Hyers-Ulam stability of a generalized Apollonius type quadratic functional equation in random Banach spaces.
We prove the existence of solutions for an elliptic partial differential equation having more general flux term than either
-Laplacian o...
In the paper by Olaleru and Akewe (2007), the authors tried to generalize Gregus fixed point theorem. In this paper we give a counterexample on their main statement.
-Ternary
-Homomorphisms: A Fixed Point Approach
Using fixed point methods, we prove the stability and superstability of
-ternary additive, quadratic, cubic, and quartic homomorphisms in
We introduce an iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions mapping, the set of common solutions of a system of two mixed equilibrium problems and t...
We prove the generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation
in non-Archimedean spaces.
We observe that the notion of common property (E.A.) relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequ...
We generalize and modify Lefschetz sets defined in 1976 by L. Górniewicz, which leads to more general results in fixed point theory.
The original article was published in Fixed Point Theory and Applications 2010 2011:620284
We introduce new iterative algorithms by hybrid method for finding a common element of the set of solutions of fixed points of infinite family of nonexpansive mappings, the set of common solutions of generaliz...
We study common fixed point theorems for a finite family of discontinuous and noncommutative single-valued functions defined in complete metric spaces. We also study a common fixed point theorem for two multiv...
We devote this paper to solving the variational inequality of finding
with property
The main purpose of this paper is to study the functional equation arising in dynamic programming of multistage decision processes
,
Fixed point results with the concept of generalized weakly contractive conditions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature.
-Convex Spaces
This paper deals with the generalized strong vector quasiequilibrium problems without convexity in locally
-convex spaces. Using the Kak...
The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main resul...
We define and study a new iterative algorithm inspired by Matsushita and Takahashi (2008). We establish a strong convergence theorem of the proposed algorithm for asymptotically nonexpansive in the intermediat...
An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator a...
-Accretive Mappings in Banach Spaces
We introduce implicit and explicit viscosity iterative algorithms for a finite family of
-accretive operators. Strong convergence theorems of th...
-Functions on Quasimetric Spaces and Fixed Points for Multivalued Maps
We discuss several properties of
-functions in the sense of Al-Homidan et al.. In particular, we prove that the partial metric induced by any
The modified Ishikawa iterative process is investigated for the class of total asymptotically pseudocontractive mappings. A weak convergence theorem of fixed points is established in the framework of Hilbert s...
In this paper we consider the so called a cone metric type space, which is a generalization of a cone metric space. We prove some common fixed point theorems for four mappings in those spaces. Obtained results...
This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possess...
We introduced a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-Ï•-nonexpansive mappings, the set of common solutions of a finite family of equilibri...
We prove a strong convergence theorem for an infinite family of asymptotically strict pseudo-contractions and an infinite family of equilibrium problems in a Hilbert space. Our proof is simple and different fr...
We prove a common fixed point theorem for mappings under
-contractive conditions in fuzzy metric spaces. We also give an example to illu...
We use strongly pseudocontraction to regularize the following ill-posed monotone variational inequality: finding a point
with the property
Mappings
We prove a strong convergence theorem by a shrinking projection method for the class of
mappings. Using this theorem, we get a new resu...
We introduce a viscosity approximation method for finding a common element of the set of solutions for an equilibrium problem involving a bifunction defined on a closed, convex subset and the set of fixed poin...
Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results con...
-Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework
The purpose of this paper is (1) a general nonlinear mixed set-valued inclusion framework for the over-relaxed
-proximal point algorithm...
We introduce a new iterative sequence for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of an equilibrium problem in a Banach space. Then, we...
The existence of common fixed points is established for the mappings where
is asymptotically
...
A class of implicit multivalued vector equilibrium problems is studied. By using the generalized Fan-Browder fixed point theorem, some existence results of solutions for the implicit multivalued vector equilib...
By using the Krasnoselskii's fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter
The purpose of this paper is to consider a shrinking projection method for finding the common element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an infini...
-Concave Operators
We define the concept of the generalized
-concave operators, which generalize the definition of the
...
The purpose of this paper is to present some fixed-point results for single-valued
-contractions on ordered and complete gauge space. Ou...
We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theor...
We consider the intuitionistic fuzzy stability of the quadratic functional equation
by using the fixed point alternative, where
Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (200...
We obtain some new existence and uniqueness theorems of positive fixed point of mixed monotone operators in Banach spaces partially ordered by a cone. Some results are new even for increasing or decreasing ope...
The original article was published in Fixed Point Theory and Applications 2010 2010:189684
We consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems, the set of solutions of a system of quasivariational inclusions for two difference inver...
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Source Normalized Impact per Paper (SNIP): 0.832
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