[PDF] Top 20 Fixed Points of Generalized Contractive Maps

... of generalized w-contractive map reduces to the definition of generalized contractive map due to Klim and Wardowski ...weakly contractive in short, w-contractive 8, and further ... See full document

... On the other hand Berinde [1] introduced a new class of quasi-contractive type operators and proved a strong convergence theorem for Ishikawa iterative process (3) to approximate fixed points in a ... See full document

... contraction maps which were later renamed by him as almost ...weakly contractive maps and showed the existence of fixed points in complete metric ...of maps by broadening the ... See full document

... the points,” ...to generalized metric spaces,” Journal of Nonlinear and convex Analysis, ...for generalized metric spaces with applications to fixed point theory,” ... See full document

... [8] generalized the concept of commuting mappings by calling self-mappings A and S of metric space (X,d) a weakly commuting pair if and only if d(ASx,SAx) ≤ d(Ax, Sx) for all x ∈ ...common fixed point ... See full document

... Then note that the pairs {f, S} and {g, T} are R-weakly commuting as they commute at their coincidence points. The pair {f, S} is continuous compatible while the pair {g, T} is non-compatible. To see that g and T ... See full document

... valued maps, Kada et ...Caristi’s fixed point theorem by replacing the involved metric with a generalized ...this generalized distance, Suzuki and Takahashi [9] have introduced notions of ... See full document

... Banach fixed point theorem is the basic and simple fixed point theorem, it is widely applied in mathematics and other ...goodly generalized and improved in various metric spaces such as 2-metric ... See full document

... for generalized f -contractive multivalued ...coincidence points and common fixed points for generalized f-contractive maps not involving the extended Hausdorff metric and ... See full document

... common fixed point theorems for three mappings satisfying generalized con- tractive conditions without exploiting the nature of continuity of any map involved there in a cone metric ... See full document

... the fixed points of a nonlinear mapping. In fact, fixed point theorems are very important tools for proving the existence and uniqueness of the solutions to various mathematical models (differential, ... See full document

... of fixed points and best proximity points in restricted p-cyclic self-maps F : X | i∈p A i → X | i∈p A i of X, 8, subject to the constraint FA i ⊆ A ... See full document

... As a generalization of the Banach contraction mapping principle, Kirk-Srinivasan-Veeramani devel- oped the cyclic contraction. A contraction T : A ∪ B → A ∪ B on non-empty sets A, B is called cyclic if T (A) ⊂ B and T ... See full document

... the generalized Caristi’s fixed point theorems we prove the existence of fixed points for self and nonself multivalued weakly w-contractive ...corresponding fixed point results ... See full document

... common fixed-point theorems for noncompatible mappings under strict contractive ...commutative maps as a tool for ...common fixed-point theorems for strict contractive noncompatible ... See full document

... In a similar way, under the assumption (ii), we can obtain the existence of common fixed point of A, B, S and T . Uniqueness of common fixed point follows from the inequality (3.1). Theorem 3.7. Let A, B, S ... See full document

... of contractive set-valued maps in cone uniform spaces with generalized pseudodistances and we show how in these spaces our fixed point and endpoint existence theorem of Caristi type yields the fixed ... See full document

... In this work, we provide a novel technique of tackling coupled fixed point inequalities of type (1.5), which also works for inequalities of type (1.4), without the use of the classical concept of Cauchy sequences. ... See full document

... · (c + δ) = a(c + δ) < c − δ, (3.22) which is a contradiction. Thus we have c = 0. Theorem 3.12 is proved. Remark 3.13. In Theorem 3.12, if (3.2) does not hold, then only by (3.18) and (3.19) it is not enough to ... See full document

... In , Branciari [] established a fixed point theorem for a single-valued mapping satis- fying a contractive inequality of integral type; we also refer the reader to [–]. Recently, Liu et al. [] (see also ... See full document