[PDF] Top 20 Projective contractions, generalized metrics, and fixed points

... is used to take the desired decision under an appropriate criterion for the problem un- der consideration (see, for instance, []). In many situations the numerical values that are merged represent distances between ... See full document

... vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair of singlevalued operators (satisfying a generalized mixed monotone ... See full document

... In , Branciari [] introduced the notion of generalized metric space and proved the Banach fixed point theorem in such spaces. For more information, the reader can refer to [–]. For some notions and facts ... See full document

... The purpose of this work is to present some local and global fixed point results for singlevalued and multivalued generalized contractions on spaces endowed with vector-valued metrics. The ... See full document

... Subsequently, a number of papers occurred on tripled fixed point and quadruple fixed point theory (see, e.g., [–]). Berzig and Samet [] discussed the existence of the fixed point of N-order for m-mixed monotone ... See full document

... Yao, “Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... of fixed points of generalized Geraghty contractions in partially ordered metric spaces by using an altering distance function without subadditivity and continuity is of present ... See full document

... The well-known Banach contraction principle, which guarantees the existence of a unique fixed point for a mapping defined on a complete metric space satisfying the contraction condition, was introduced in  by Banach ... See full document

... We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented results, we give a ... See full document

... a fixed point of T ...one fixed point. Indeed, if x ∗ , y ∗ ∈ X be two distinct fixed points of T, that is, T x ∗ = x ∗ 6= y ∗ = T y ∗ , then d(x ∗ , y ∗ ) > ... See full document

... unique fixed point and that in Theorem ...Banach contractions are always continuous but Kannan contractions are not necessarily ...a fixed point which implies that Theorem ...a fixed ... See full document

... In the mid-sixties ten, other fixed points results dealing with general contractive conditions with rational expressions were appeared. The early works in this direction were established by Dass and Gupta ... See full document

... Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn ... See full document

... some generalized ( α , ψ )-contractive mappings in the setting of generalized metric spaces and, based on the very recent paper (Kirk and Shahzad in Fixed Point Theory ... See full document

... 10. Jungck, G, Pathak, HK: Fixed points via ‘biased maps’. Proc. Am. Math. Soc. 123(7), 2049-2060 (1995) 11. Maiti, M, Pal, TK: Generalizations on two fixed point theorems. Bull. Calcutta Math. Soc. 70(2), ... See full document

... Sufficient conditions for the existence of a common fixed point of generalized f -weakly con- tractive noncommuting mappings are derived. As applications, some results on the set of best approximation for ... See full document

... In this paper, we introduce the concept of generalized convex contractions and give some results about approximate fixed points of the contractions on metric spaces. By providing some examples, ... See full document

... The existence of common fixed points is established for the mappings, where T is f, θ, L -weak contraction on a nonempty subset of a Banach space. As application, some results on the invariant best ... See full document

... obtain fixed point results for multivalued generalized w-contractive maps not involving the extended Hausdorff ...of fixed point results including the corresponding results of Feng and Liu 3, Latif ... See full document

... It is clear that a Picard operator is a weakly Picard one but the identity mapping of any metric space with more that one point shows that the converse is not generally true. In fact, the set of fixed ... See full document