Results 41 to 50 of about 578,070 (245)
Equivalents of maximum principles for several spaces
According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj +1 more source
Fixed point theorems of JS-quasi-contractions
In this paper, we introduce the concept of JS-quasi-contraction and prove some fixed point results for JS-quasi-contractions in complete metric spaces under the assumption that the involving function is nondecreasing and continuous.
Zhilong Li, Shujun Jiang
semanticscholar +1 more source
A Geometric Approach to Combinatorial Fixed-Point Theorems [PDF]
We develop a geometric framework that unifies several different combinatorial fixed-point theorems related to Tucker's lemma and Sperner's lemma, showing them to be different geometric manifestations of the same topological phenomena.
Grant, Elyot, Ma, Will
core
Homological selections and fixed-point theorems
A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set ...
Valov, Vesko
core +1 more source
Fixed-point-like theorems on subspaces
We prove a fixed-point-like theorem for multivalued mappings defined on the finite Cartesian product of Grassmannian manifolds and convex sets. Our result generalizes two different kinds of theorems: the fixed-point-like theorem by Hirsch et al.
Cornet Bernard, Bich Philippe
doaj +2 more sources
A generalized metric space and related fixed point theorems
We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result ...
M. Jleli, B. Samet
semanticscholar +1 more source
Fixed Point Theorems via Auxiliary Functions
We prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.
Erdal Karapınar, Peyman Salimi
doaj +1 more source
Cyclic compatible contraction and related fixed point theorems
In this work, we introduce the concept of a cyclic compatible contraction and prove related fixed point theorems in the generating space of a b-quasi-metric family.
P. Kumari, D. Panthi
semanticscholar +1 more source
Fixed point theorems for asymptotically contractive mappings [PDF]
In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math.
Suzuki, Tomonari
core +4 more sources
Fixed point theorems for generalized weakly contractive mappings [PDF]
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family of weakly contractive mappings as
Ramendra Krishna Bose+1 more
doaj