[PDF] Top 20 2. On quasi-power increasing sequences general contractive condition of integral type

... Leindler, On the absolute summability factors of infinite series involving quasi-power increasing sequences , Computers and mathematics with applications 57 (2009) 702–709. [5] W.T[r] ... See full document

... The notion of modular spaces, as a generalize of metric spaces, was introduced by Nakano 13 and redefined by Musielak and Orlicz 14. A lot of mathematicians are interested, fixed points of Modular spaces, for example ... See full document

... so that there is no number c ∈ [0, 1) such that d(Sx,T y) ≤ cd(x, y) for x, y ∈ O(1) and x = T y. Therefore, [2, Theorem 3.1] cannot be used. On the other hand, the hypotheses of Lemma 1 are satisfied. To see ... See full document

... an integral-type inequality. The authors in [2–6] proved some fixed point theorems involving more general contractive ...of integral type are still Meir-Keeler ...a ... 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 ... 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

... It is known that the Banach’s contraction principle has a lot of generalizations and various applications in many directions, see, for examples, [2-12] and the references cited therein. Es- pecially, in 1962, ... See full document

... In order to extend the well-known Banach-Caccioppoli theorem, Branciari [11] was the first to introduce contractive mappings of integral type. Afterwards, many authors continued Bran- ciari’s study ... See full document

... In the paper by Khojasteh et al. 2010, the authors tried to generalize Branciari’s theorem, introducing the new integral type contraction mappings. In this note we give a counterexample on their main ... See full document

... In 2007, Huang and Zhang in 1 introduced cone metric space by substituting an ordered Banach space for the real numbers and proved some fixed point theorems in this space. Many authors study this subject and many fixed ... See full document

... an integral-type inequality which is indeed an analogue of contraction mapping ...more general integral type contractive ...of integral type are still Meir-Keeler ... See full document

... a contractive condition of integral type”, International Journal of Mathematical Archive ...weak contractive condition”, International Journal of Mathematics and Mathematical ... See full document

... [5] G. Jungck, “ Common fixed points for noncontinuous nonself maps on nonmetric spaces”, Far East J. Math. Sci. 4(1996), no. 2, 199-215. [6] G. Jungck and B. E. Rhoades “ Fixed points for set-valued functions ... See full document

... We introduce a new generalized contractive condition for four mappings in the framework of metric space. We give some common fixed point results for these mappings and we deduce a fixed point result for ... See full document

... for contractive-type mappings was the well-known Banach-Caccioppoli theorem, published for the first time in 1922 in [1] (see also ...the general setting of complete metric spaces this theorem runs ... See full document

... more general than classical metric space. Sastry et al. [2] proved that every complex-valued metric space is metrizable and hence is not real gene- ralizations of metric ... See full document

... 1-or 2-dimensional functions and estab- lish the implicit contractive conditions determined by { C ∗ , Φ ∗ u , Φ ∗ u } about two mappings, and then discuss the existence problems of common fixed points for ... See full document

... dislocated quasi metric ...of quasi b -metric spaces given by Shah and Huassain[6] in 2012 and obtained some fixed point ...dislocated quasi b -metric ...dislocated quasi b-metric ... See full document

... After the paper of Branciari, a lot of research works have been carried out on gen- eralising contractive conditions of integral type for different contractive mappings satisfying various ... See full document

... Quite recently, Mazhar [10] obtained a further generalization of Theorem 1.2 under weaker conditions by using an almost increasing sequence instead of positive nonde- creasing sequence. Also it is clear that (1.9) ... See full document