in this paper, we shall introduce the fuzzyw-distance, then prove a common fixed point theorem with respectto fuzzy w-distance for two mappings under the condition ofweakly compatible in complete fuzzy metric spaces.

In this paper, we establish some common fixed point theorems for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our results unify and extend many results existing in the literature including those of Aliouche [3], Bouhadjera [4] and Popa [18]-[23]. Also we establish another common fixed point theorem for four o...

We set up two new variants ofψ -contractive mappings designed for two and three maps in metric spaces and originate common fixed point theorems for T -strictly weakly isotone increasing mappings and relatively weakly increasing mappings in complete ordered metric spaces. To demonstrate our results, we give some examples throughout the paper. At the same time, as applications of the presented th...

In this note, we aim to present some properties of the space of all weakly fuzzy bounded linear operators, with the Bag and Samanta’s operator norm on Felbin’s-type fuzzy normed spaces. In particular, the completeness of this space is studied. By some counterexamples, it is shown that the inverse mapping theorem and the Banach-Steinhaus’s theorem, are not valid for this fuzzy setting. Also...

In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a metric space satisfying a weak Meir-Keeler type contractive condition by using a class of implicit relations. In particular, our result generalizes and improves a result of K. Jha, R.P. Pant, S.L. Singh, by removing the assumption of continuity, relaxing compatibility to weakly com...

In this paper we prove some generalized fixed point theorems for a class of contractive mappings over an extended JS-generalized metric space. Notions weakly sensitive and strongly coefficient functions have been used here in proving theorems. Examples are given strengthening the hypothesis our established Moreover application is to circle problem.

We study Krasnoselskii-Mann style iterative algorithms for approximating fixpoints of asymptotically weakly contractive mappings, with a focus on providing generalized convergence proofs along explicit rates convergence. More specifically, we define new notion being ψ-weakly modulus, and present series abstract theorems which both generalize unify known results from the literature. Rates are fo...