Fixed point and coincidence point theorems for a pair of single-valued and multi-valued maps on a metric space.
Fixed point and continuation results for contractions in metric and gauge spaces
We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.
Fixed Point and Contraction Theorems in Metric Spaces.
Fixed point and homotopy result for mappings satisfying an implicit relation
In this paper, we prove some fixed point theorems for single valued mappings satisfying an implicit relation on space with two metrics. In addition we give a homotopy result using our theorems.
Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions
The aim of this work is to introduce the notion of weak altering distance functions and prove new fixed point theorems in metric spaces endowed with a transitive binary relation by using weak altering distance functions. We give some examples which support our main results where previous results in literature are not applicable. Then the main results of the paper are applied to the multidimensional fixed point results. As an application, we apply our main results to study a nonlinear matrix equation....
Fixed point approximation of weakly commuting mappings in Banach space.
Fixed point in topological vector space-valued cone metric spaces.
Fixed point index for open sets in euclidean spaces
Fixed point of nonexpansive type and K-multivalued maps.
Fixed point of weakly contraction mappings.
Fixed point properties related to multivalued mappings.
Fixed point result in controlled fuzzy metric spaces with application to dynamic market equilibrium
In this paper, we introduce -type controlled fuzzy metric spaces and establish some fixed point results in this spaces. We provide suitable examples to validate our result. We also employ an application to substantiate the utility of our established result for finding the unique solution of an integral equation emerging in the dynamic market equilibrium aspects to economics.
Fixed point results and their applications to Markov processes.
Fixed point results for generalized contractive multimaps in metric spaces.
Fixed point results for multivalued contractions on ordered gauge spaces
The purpose of this article is to present fixed point results for multivalued E ≤-contractions on ordered complete gauge space. Our theorems generalize and extend some recent results given in M. Frigon [7], S. Reich [12], I.A. Rus and A. Petruşel [15] and I.A. Rus et al. [16].
Fixed point results for multivalued maps in cone metric spaces.
Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions.
Fixed point results for -contractions on a set with two separating gauge structures.
Fixed point results in quasimetric spaces.
Fixed point results on a metric space endowed with a finite number of graphs and applications
In this paper, we consider self-mappings defined on a metric space endowed with a finite number of graphs. Under certain conditions imposed on the graphs, we establish a new fixed point theorem for such mappings. The obtained result extends, generalizes and improves many existing contributions in the literature including standard fixed point theorems, fixed point theorems on a metric space endowed with a partial order and fixed point theorems for cyclic mappings.