On the orbits of -closure points of ultimately nonexpansive mappings.
On the proximate fixed-point property for multifunctions
On the Schauder fixed point theorem
The paper contains a survey of various results concerning the Schauder Fixed Point Theorem for metric spaces both in single-valued and multi-valued cases. A number of open problems is formulated.
On the Stability of Jungck–Mann, Jungck–Krasnoselskij and Jungck Iteration Processes in Arbitrary Banach Spaces
In this paper, we establish some stability results for the Jungck–Mann, Jungck–Krasnoselskij and Jungck iteration processes in arbitrary Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck–Mann, Jungck–Krasnoselskij and Jungck iterations. Our results are generalizations and extensions to a multitude of stability results in literature including those of Imoru and Olatinwo [8], Jungck [10], Berinde [1] and many others.
On the uniqueness of the fixed point index on differentiable manifolds.
On the Uniqueness of the Topological Degree.
On the weakly(α, ψ, ξ)-contractive condition for multi-valued operators in metric spaces and related fixed point results
The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (α, ψ, ξ)-contractive mapping and prove fixed point results for such mappings in metric spaces. Our results unify, generalize and complement various results from the literature. We give some examples which support our main results while previous results in literature are not applicable. Also, we analyze the existence of fixed points for mappings satisfying a general contractive inequality of...
On the -continuous fixed point property.
On two open problems of contractive mappings.
On ultrametric space.
On uniformly generalized Lipschitzian mappings.
On weak convergence to the fixed point of a generalized asymptotically nonexpansive map.
On -fixed point for maps on uniform spaces.
One tripled fixed point result in partially ordered 0-complete partial metric spaces
Only 3-generalized metric spaces have a compatible symmetric topology
We prove that every 3-generalized metric space is metrizable. We also show that for any ʋ with ʋ ≥ 4, not every ʋ-generalized metric space has a compatible symmetric topology.
Open maps between Knaster continua
We investigate the set of open maps from one Knaster continuum to another. A structure theorem for the semigroup of open induced maps on a Knaster continuum is obtained. Homeomorphisms which are not induced are constructed, and it is shown that the induced open maps are dense in the space of open maps between two Knaster continua. Results about the structure of the semigroup of open maps on a Knaster continuum are obtained and two questions about the structure are posed.
Ordered non-Archimedean fuzzy metric spaces and some fixed point results.