We study the existence and uniqueness of solutions for boundary value problems associated to differential equations of interval-valued functions, by using the derivative of Hukuhara and some fixed point theorems for weakly contractive mappings defined on partially ordered sets.

We prove the unique common fixed point theorems for pairs of weakly compatible mappings satisfying the certain contractive conditions in the setting of generalized metric spaces without exploiting the notion of continuity. Mathematics Subject Classification: Primary 47H10; Secondary 54H25

Stability results for a much wider class of (ψ,φ)-weakly contractive mappings are proved in a metric space. These results include a number of known results. Mathematics Subject Classification: 54H25; 47H10

In 2014, Zead Mustafa introduced $b_2$-metric spaces, as a generalization of both $2$-metric and $b$-metric spaces. Then new fixed point results for the classes of  rational Geraghty contractive mappings of type I,II and III in the setup of $b_2$-metric spaces are investigated. Then, we prove some fixed point theorems under various contractive conditions in partially ordered $b_2$-metric spaces...

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...

The aim of the paper is to study some generalizations of weakly Kannan and weakly Chatterjea-type contractive mappings in the setting of partial metric spaces. Some important outcomes are stated and proved, extending classic fixed point and best proximity point theorems. Examples are given in order to emphasize the utility of the main results.

The purpose of this paper is to prove that orbital continuity for a pair self-mappings necessary and sufficient condition the existence uniqueness common fixed point these mappings defined on Menger PM-spaces with nonlinear contractive condition. main results are obtained using notion R-weakly commutativity type Af (or Ag). These generalize some known results.

The aim of this paper is to prove a common fixed point theorem for variants of weak compatible maps in a complex valued metric space. As a consequence, we extend and generalize the theorem of Branciari [3] for 2812 a pair of weakly compatible mappings satisfying a general contractive condition of integral type in complex valued metric space. At last, we prove two results by using E.A. property ...

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].