[PDF] Top 20 Common Fixed Point Theorems for Weak Contraction Mapping of Integral Type in Modular Spaces

... of modular space, as a generalization of 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 ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 ...Banach contraction principle has been extended in many different directions; see ...of weak ... See full document

... of common so- lution for the system of functional equations arising in dynamic programming with the help of common fixed point results satisfying the contractive conditions of integral ... See full document

... Banach contraction principle [4], is one of the most celebrated fixed point theorem and has been generalized in various ...directions. Fixed point problems for contrac- tive mappings in ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... in fixed point theory is Banach contraction ...this contraction and proved the existence of fixed and common fixed point theorems (for example see [19]- ... See full document

... is common that the contractive-type conditions are very important in the study a fixed point ...of fixed points for contractive-type mapping was the well-known ... See full document

... Banach’s contraction principle for an integral-type ...of integral type in modular metric spaces and prove the presence and uniqueness of common fixed points for ... See full document

... Abstract In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction[r] ... 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

... Proof. Let I be an arbitrary point in N . Since c N ⊆ e N , choose a point U in N such that c I = e U . Also since N ⊆ f N , let q be a point in N such that U = f q . Using this argument repeatedly, ... See full document

... The weak contraction condition in Hilbert Space was introduced by Alber and Gurerre - De- labriere ...Hilbert Spaces is also true in a complete metric ...a fixed point theorem in a ... See full document

... The title of this paper implies that the pair of maps in a complete metric space satisfies certain inequality by generalizing the contraction condition of Banach, but the inequality itself does not force the ... See full document

... a modular space was intiated by Nakano [5] and was redefined and generalized by Musielak and Orlicz ...several fixed point and common fixed point theorems in the frame ... See full document

... metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dualistic partial metric ... 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 and common fixed point theo- rems for ρ-compatible mapping satisfying a generalized weak contraction of integral type in modular ...gave ... See full document

... In this paper, we obtain the existence and uniqueness of the solution for three self map- pings in a complete bipolar metric space under a new Caristi type contraction with an example. Also, we provide some ... 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 modular metric space and a generalized metric space in the sense of Jleli and Samet [6], we introduce a new concept of generalized modular metric ...Banach contraction principle (BCP) and Ćirić’s ... See full document