The purpose of this paper is to present some coincidence point and common  fixed point theorems for multivalued contraction maps in complete fuzzy  metric spaces endowed with a partial order. As an application, we give  an existence theorem of solution for general classes of integral  inclusions by the coincidence point theorem.

‎In this paper‎, ‎we use the concept of $C$-class functions introduced‎ ‎by Ansari [4] to prove the existence and uniqueness of‎ ‎common fixed point for self-mappings in modular spaces of integral‎ ‎inequality‎. ‎Our results extended and generalized previous known‎ ‎results in this direction‎.

‎in this paper, based on [a. razani, v. rako$check{c}$evi$acute{c}$ and z. goodarzi, nonself mappings in modular spaces and common fixed point theorems, cent. eur. j. math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $t$ in the modular space $x_rho$ is presented. moreover, we study a new version of krasnoseleskii's fixed point theorem for $s+t$, where $t$ is a cont...

‎in the present paper‎, ‎by making use of the differential subordination and‎ ‎superordination results of miller and mocanu‎, ‎  ‎certain classes of admissible functions ‎are determined so that subordination as well as superordination implications‎ ‎of functions associated with an integral operator hold‎. ‎additionally‎, ‎differential sandwich-type result is obtained‎.

In this paper, we shall establish error estimates for two important fixed point theorems involving contractive conditions of integral type. Apart from obtaining the error estimates and the rate of convergence for a recent result of Rhoades [18] by imposing an additional condition, a generalization of Berinde [4] is also established in Theorem 2 by introducing a weak contraction condition of int...

Inspired by the fact that the discontinuous mappings cannot be (Banach type) contractions and cyclic contractions need not be continuous, and taking into account that there are applications to integral and differential equations based on cyclic contractions, a new type of cyclic contraction mappings satisfying an implicit relation that involves a control function for a map in a metric space is ...

Our paper is devoted to describing a new way of generalized convex contraction type-2 in the framework b-metric spaces and 2-metric spaces. First, concept on introduced, fixed point theorem extended these Some examples supporting our main results are also presented. Finally, we apply result approximating solution Fredholm integral equation.

The main objective of this work is to introduce a new type non-linear contraction via C-class functions by using ?-admissible mapping. Our results extend and generalize the very recent Karapinar Sadarangani (2015. RACSAM. [37]). Illustrative examples are given support our findings. We have shown that satisfy periodic fixed point after modifying contraction. Next, we findings from self-mapping T...