[PDF] Top 20 Fixed Point Results with Integral Type Mappings

... common fixed point and occasional weak compatibility are equivalent conditions, and consequently, proving existence of fixed points by assuming occasional weak compatibility is equivalent to proving ... See full document

... -contractive type mappings of integral type and to analyze the existence of fixed points for these mappings in complete metric ...Our results are improved versions of a multitude ... See full document

... the fixed point ...on fixed point theory dealing with mappings satisfying various type of contractive conditions (see [3], [5] [7], [8], [9] and [11] for ... See full document

... some fixed point theorems for different contractive ...Their results have been generalized by different authors ...the results of all those ... See full document

... some fixed point theorems in cone metric spaces for mapping satisfying various contractive ...many fixed point theorems are ...common fixed point theorem for commuting ... See full document

... sup{|u(x, y)|, |H(x, y, t)| : (x, y, t) ∈ S × D × R} ≤ M. (5:4) It is easy to see that A is a self-mappings in B(S) by (5.3), (5.4) and Lemma 2.3. Using Theorem 12.34 in [31] and Î F, we conclude that for each ε ... See full document

... several mappings satisfying contrac- tive conditions of integral type, one of which extends the mapping ...these mappings in complete metric ... See full document

... contractive mappings of integral type to generalize Banach-Caccioppoli’s theorem, but in a similar way we can generalize other results also related to contractive conditions of some kind, such ... See full document

... the results of b-metric spaces that generalized the famous Banach contraction principle in metric ...Banach fixed point theorem in the b-metric ...the fixed point theorem in b-metric ... See full document

... new integral type contraction ...generalizing fixed point results to cone spaces, where the cone is taken from the infinite dimensional ... See full document

... It is well known that the Banach contraction principle [1] is a very useful, simple, and classical tool in nonlinear analysis. Also, this principle has many generalizations; see [2] and others. For example, Meir and ... See full document

... Corollary 3.3.1. Let N be a modular metric space and I, J, S, T : N → N be self mappings such that c N ⊆ e N , and N ⊆ f N and one of f N or e N be a -complete subspace of N . Suppose there exist number , Š, & ... See full document

... integral type,” International Journal of Mathematics and Mathematical Sciences, no. 63, pp. 4007–4013, 2003. 3 A. Razani, E. Nabizadeh, M. B. Mohamadi, and S. H. Pour, “Fixed points of nonlinear and ... See full document

... any of its generalizations, viz weakly commuting, compatibility, weak compatibility. Also the mappings f and T are not coincidentally commuting. Note that f  ∈ T , but ff  = f  and so f and T are not ... See full document

... one fixed points on A. Suppose that x ∗ is a fixed point of N, that is, Nx ∗ = x ∗ , then NHx ∗ = HNx ∗ = Hx ∗ , hence Nx ∗ (= x ∗ ) is a fixed point of ...a fixed point ... See full document

... of mappings satisfying contractive conditions of integral type, see, for exam- ple, [–] and the references cited ...of integral type as ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type , Int.. ´ Ciri´ c, Generalized contraction and fixed point theorem , Publ.[r] ... See full document

... Branciari, A fixed point theorem for mappings satisfying a general contractive condition of integral type, Int.. Ćirić, Generalized contractions and fixed-point theorems, Publ.[r] ... See full document

... In 2008, Suzuki [3] introduced a new method on the problem and the method was further extended by some authors; see, for example, [4-7]. The following result was proved in [8]. Theorem 1.3. Let (X, d) be a complete ... See full document

... two mappings, and then discuss the existence problems of common fixed points for two self-mappings of integral type with the new implicit limitation in a non-complete ordered metric ... See full document