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 study the existence and uniqueness of solutions for a multiple system fractional differential equations with nonlocal integro multi point boundary conditions by using p-Laplacian operator ?-Caputo derivatives. The presented results are obtained two fixed theorems Banach Krasnoselskii. An illustrative example is at end to show applicability results. To best our knowledge, first...

If the smooth vector fields X1,…,Xm and their commutators span tangent space at every point in Ω⊆RN for any fixed m≤N, then we establish full interior regularity theory of quasi-linear equations ∑i=1mXi⁎Ai(X1u,…,Xmu)=0 with p-Laplacian type growth condition. In other words, show that a weak solution equation is locally C1,α.

The purpose of this work is to investigate the existence of fixed points of some mappings in fixed point theory by combining some important concepts which are F-weak contractions, multivalued mappings, integral transformations and α-admissible mappings. In fixed point theory, it is important to find fixed points of some classess under F- or F-weak contractions. Also multivalued mappings is the ...