A New Approach to the Study of Fixed Point Theorems with í µí±¤-Distances via í µí± -Functions (original) (raw)
Some new fixed point theorems in complete metric spaces
Creative Mathematics and Informatics, 2012
In this paper, we obtain some fixed point theorems for more general classes of mappings than the A−contractions of Akram et al. We also give an example of mappings satisfying our new class of contractive mappings but which does not satisfy the contractive condition of Akram et al. Our results generalize and extend the recent results of Akram et al., and unify several other classical results in the literature.
A New Extension of Some Well Known Fixed Point Theorems in Metric Spaces
Mathematical Sciences Letters, 2014
In this paper, our purpose is to give a new generalization of Kannan's type and Chatterjea's type fixed point theorems in metric spaces. We have two main ideas. Our first idea is applying the logic of Choudhury [5] to the Kannan type contraction mappings, the second is applying the logic of Dutta and Choudhury [6] to the Kannan type contraction mappings and Chatterjea type contraction mappings.
A FIXED POINT THEOREM FOR -GENERALIZED CONTRACTION OF METRIC SPACES
In this paper we prove a fixed point theorem for -generalized contractions and obtain its consequences. KEYWORDS: D*-metric space,K-contraction, − í µí±í µí±í µí±í µí±í µí±í µí±í µí±í µí±í µí± §í µí±í µí± í µí±í µí±í µí±í µí±¡í µí±í µí±í µí±í µí±¡í µí±í µí±í µí± .
Fixed point results in complete metric spaces
Demonstratio Mathematica
Using the concept of w-distance, we prove fixed point theorems for multivalued contractive maps. Consequently, we improve and extend the corresponding fixed point results due to Feng and Liu, Nadler and many of others.
The Existence of Fixed Point Theorems via -Distance and -Admissible Mappings and Applications
Abstract and Applied Analysis, 2013
We introduce the concept of the generalized -contraction mappings and establish the existence of fixed point theorem for such mappings by using the properties of -distance and -admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. Our results generalize the result of Kutbi, 2013, and several results in the literature.
On Fixed Point Theorems in Complete Metric Space
Journal of Computer and Mathematical Sciences
In this paper, some theorems concerning the existence and uniqueness of fixed point in complete metric space are established. The results of the continuity clause we reached are introduced and some of the results we obtained are circulated.
On some fixed point theorems in generalized metric spaces
Fixed Point Theory and Applications
In this paper, we obtain some generalizations of fixed point results for Kannan, Chatterjea and Hardy-Rogers contraction mappings in a new class of generalized metric spaces introduced recently by Jleli and Samet (Fixed Point Theory Appl. 2015:33, 2015).
A Fixed Point Theorem for Generalized F-Contractions on Complete Metric Spaces
Vietnam Journal of Mathematics, 2015
In this paper, a fixed point theorem for generalized F-contractions is proved. Examples are given to illustrate the results. Keywords Fixed point • Generalized F-contraction Mathematics Subject Classifications (2010) Primary 47H10 • 54H25 • Secondary 54D99 • 54E99 n→∞ F (α n) = −∞. (F3) There exists k ∈ (0, 1) such that lim α→0 + (α k F (α)) = 0.