Results 31 to 40 of about 4,770,398 (82)

Leray–Schauder Alternatives for Maps Satisfying Countable Compactness Conditions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we present Leray–Schauder alternatives for a general class of Mönch type maps.
O’Regan Donal
doaj   +1 more source

Common fixed points for (ψ,α,β)-weakly contractive mappings in generalized metric spaces

, 2013
We establish some common fixed point theorems for mappings satisfying a (ψ,α,β)-weakly contractive condition in generalized metric spaces. Presented theorems extend and generalize many existing results in the literature.MSC: Primary 54H25; secondary ...
H. Işık, D. Türkoglu
semanticscholar   +1 more source

Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces

Journal of Inequalities and Applications, 2014
In this paper, we establish a full statement of Ćirić’s fixed point theorem in the setting of cone metric spaces. More exactly, we obtain a priori and a posteriori error estimates for approximating fixed points of quasi-contractions in a cone metric ...
Petko D. Proinov, I. Nikolova
semanticscholar   +1 more source

Fixed points, intersection theorems, variational inequalities, and equilibrium theorems

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 73-93, 2000., 2000
From a fixed point theorem for compact acyclic maps defined on admissible convex sets in the sense of Klee, we first deduce collectively fixed point theorems, intersection theorems for sets with convex sections, and quasi‐equilibrium theorems. These quasi‐equilibrium theorems are applied to give simple and unified proofs of the known variational ...
Sehie Park
wiley   +1 more source

Fixed Point Theorem in Complex Valued Metric Space

, 2017
:  The Purpose of this paper is to generalize a theorem of Murthy et al, for a pair of maps in a complex valued metric space in the lines of Murthy et al.2010 mathematics subject classification: primary 47H10; secondary ...
C. Sreedhar
semanticscholar   +1 more source

Approximating fixed points of nonexpansive mappings

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 173-177, 2000., 2000
We consider a mapping S of the form , where αi ≥ 0, α0 > 0, α1 > 0 and . We show that the Picard iterates of S converge to a common fixed point of Ti(i = 1,2,…,k)in a Banach space when Ti(i = 1,2,…,k) are nonexpansive.
Guimei Liu, Deng Lei, Shenghong Li
wiley   +1 more source

Common fixed point and approximation results for generalized (f, g)-weak contractions

Fixed Point Theory and Applications, 2012
The existence of common fixed points is established for three mappings where T is generalized (f, g)-weakly contractive mapping on a nonempty subset of a Banach space. As applications, the invariant approximation results are proved. Our results unify and
F. Akbar, A. Khan, N. Sultana
semanticscholar   +1 more source

Fixed points and selections of set‐valued maps on spaces with convexity

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 595-612, 2000., 2000
We provide theorems extending both Kakutani and Browder fixed points theorems for multivalued maps on topological vector spaces, as well as some selection theorems. For this purpose we introduce convex structures more general than those of locally convex and non‐locally convex topological vector spaces or generalized convexity structures due to Michael,
Peter Saveliev
wiley   +1 more source

Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
doaj   +1 more source

Common stationary points of multivalued mappings on bounded metric spaces

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 773-779, 2000., 2000
Necessary and sufficient conditions for the existence of common stationary points of two multivalued mappings and common stationary point theorems for multivalued mappings on bounded metric spaces are given. Our results extend the theorems due to Fisher in 1979, 1980, and 1983 and Ohta and Nikaido in 1994.
Zeqing Liu, Shin Min Kang
wiley   +1 more source