Nonlinear generalized contractions on Menger PM spaces

Fixed Point Theorems for Nonlinear Contractions in Menger Spaces

and Applied Analysis 3 Definition 2.7. Let X,F, t be a Menger space, and let T : X → X be a selfmapping. For each p ∈ X, x > 0 and n ∈ N, let M ( p, x, n ) min { FTkp,Tlp x : k, l ≤ n and k, l ∈ Z } , M1 ( p, x, n ) min { FTkp,Tlp x : k, l ≤ n and k, l ∈ N } , M2 ( p, x, n ) min { Fp,Tlp x : l ≤ n and l ∈ N } , O ( p, n ) { Tp : k ≤ n and k ∈ Z } , O ( p,∞ { Tp : k ∈ Z } , 2.3 where it is under...

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

Generalized multivalued $F$-weak contractions on complete metric spaces

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.