Common fixed point theorems for two hybrid pairs of mappings satisfying the common property (E.A) in Menger PM-spaces

Common fixed point theorems for two hybrid pairs of mappings satisfying the common property (E.A) in Menger PM-spaces

*Correspondence: [email protected] 1Department of Mathematics, Nanchang University, Nanchang, 330031, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a new concept of the common property (E.A) for two hybrid pairs of mappings is introduced in Menger PM-spaces. Utilizing this concept, some common fixed point theorems, which shed some new...

Some Common Fixed Point Theorems in Menger PM Spaces

Employing the common property E.A , we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as ψ-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in Branciari, 2002 ; Rhoad...

Common Fixed Point Theorems in Non-Archimedean Menger PM-Spaces

M. Alamgir Khan Department of Mathematics, Eritrea Institute of Technology Asmara, Eritrea (N. E. Africa) [email protected] Abstract. The aim of this paper is to prove a related common fixed point theorem for four mappings in two complete non-Archimedean Menger PM-spaces which extends and generalizes the result of Fisher [1, 2] , Jain et al. [4] , Nesic [5] and Popa [6]. Mathematics Subject Cl...

Newmultipled common fixed point theorems in Menger PM-spaces

Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications

In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876]introduced the notion of occasionally weakly compatible mappings (shortly owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to ...