[PDF] Top 20 Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations

... Fixed point theory is one of the most fruitful and applicable topics of nonlinear analysis, which is widely used not only in other mathematical theories, but also in many practical problems of natural ... See full document

... Fixed point theory is one of the most fruitful and applicable topics of nonlinear analysis, which is widely used not only in other mathematical theories, but also in many practical problems of natural ... See full document

... a metric space, was introduced by Nakano[13] in 1950 and redefined and generalized by Musielak and Orlicz[12] in ...of fixed point theory and Banach contraction principle occupies a prominent ... See full document

... Thus the pair (F, S) is not compatible. Also, the coupled coincidence point of F and S is ( , ). It is namely that a=p= and b=q= , F(a, b)=1-2a+2b=1- +1= =Sa , F(b, a)=Sb= and F(p, q)=1-p+q=1- + = = Sp , F(q, ... See full document

... cone metric spaces and fixed point theorems of contraction mappings; Any mapping of a complete cone metric space into itself that satisfies, for some 0 ≤ < 1 , the ... See full document

... The fixed point theory is one of the most rapidly growing topic of nonlinear functional anal- ...and integral equations, functional analysis, oper- ator theory, topology and ... See full document

... existence theorems in common fixed point ...introduced common property ...of integral type, giving an integral version of the Banach contraction principle, ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 ...For its simplicity and usefulness, it has become a very popular tool in solving existence problems in many ... See full document

... Fixed point theory for nonlinear mappings is an important subject of nonlinear functional ...fixed point theorem in all of analy- sis is the ‘Banach (or Banach-Caccioppoli) contraction ... See full document

... Fixed point theory plays a vital role in applications of many branches of ...generalized contraction mappings has become the focus of fruitful research activity in fixed point ...fixed ... See full document

... Definition 1.10. [5] Let (X, ) be partially ordered set and H : X × X → X . The mapping H is said to has the mixed monotone property if H is monotone nondecreasing in its first argument and is monotone ... See full document

... Some common fixed point theorem for six self mappings in modular metric space for occasionally weakly compatible mappings has been establish, which improves and extends similar known results ... See full document

... etc. Fixed point theorems, involving four self-maps, began with the assumption that they are ...coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy ... See full document

... Remark 2.4. Note that Theorem 2.3 does not follow from Theorem 3.3 of Bae 5 by replacing the metric d by ψd. In Theorem 2.3, we assume T is metrically inward with respect to d but to apply Theorem 3.3 of 5 with ψd ... See full document

... point theorems in such spaces ...certain theorems involving Dhage’s D-metric spaces are flawed, and most of the results claimed by Dhage and others are ...generalized ... See full document

... Furthermore, applications to integral equations in a Banach space were presented. On the basis of the ideas and techniques in [2, 6], we consider (1.2). The paper consists of five sections. In ... See full document

... coupled common fixed points for a pair of mappings satisfying F ...unique common solution of the following coupled systems of functional equations arising in dynamic ... See full document

... If n → ∞,then we have d(gx n , f u) → θ , Also, d(gx n , gu) → θ as n → ∞. The uniqueness of a limit in a cone metric type space implies that f u = gu = v . Now we show that f and g have a unique ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...fuzzy metric spaces which are very similar to ... See full document

... In this paper, motivated by the developments discussed above, we define the concept of α-Geraghty contraction type maps in the setting of a metric space. Moreover, we prove the existence and ... See full document