In this research paper, we prove some fixed point theorems for digital images. The papers main goal is to present another generalisation of the well-known Banach contraction principle fundamental concepts images are discussed, as an application theorem image compression and fractal compression. contractive type mappings in metric space introduced, uniqueness points proved.

In this paper, we will use the notion of α-admissible mappings in Banach spaces, to introduce concept Tβ-contractive and establish a fixed point theorem for type contractions. Our theorems generalize improve many results literature. Moreover, apply main result prove existence solution Volterra-integral equation, under more general assumptions than previously made.

In this paper we work out a unique common fixed point result for two self-mappings defined on a complete metric space. These mappings are assumed to satisfy a contractive inequality which involves two generalised altering distances.

‎We prove the existence of PPF dependent coincidence points for a pair of single-valued and multi-valued mappings satisfying generalized contractive conditions in Banach spaces‎. ‎Furthermore, the PPF dependent fixed point and PPF dependent common fixed point theorems for multi-valued mappings are proved.

Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, ?iri?-quasi contraction and weak in the framework a metric space. We prove fixed point theorems for such type over complete spaces with help ? -diminishing property. Some examples are given strengthening hypothesis our established theorems.

in this paper we prove existence the common fixed point with different conditions for $alpha-psi$-contractive mappings. and generalize weakly zamfirescu map in to modified weakly zamfirescu map.

in this paper, we introduce a new concept of fuzzy generalizedcontraction and give a fixed point result for such mappings in the setting of fuzzy m-complete metric spaces. we also give an affirmative partial answer to a question posed by wardowski [d. wardowski, fuzzy contractive mappings and fixed points in fuzzy metric spaces, fuzzy set syst., {bf 222}(2013), 108-114].some examples are also g...

Fixed point and common fixed point results for generlized contractive mappings are obtianed in ordered cone metric spaces.

In this article, we introduce a new mixed-type iterative algorithm for approximation of common fixed points two multivalued almost contractive mappings and satisfying condition (E) in hyperbolic spaces. We consider concepts weak w2-stability data dependence results involving mappings. provide examples to show the advantage our over some exiting algorithms. Moreover, prove several strong ?-conve...