The inequality Ffx;fy(qs) Fx;y(s) (s 0), where q 2 (0; 1), is generalized for multivalued mappings in many directions. Using Hausdor distance S.B. Nadler in [7] introduced a generalization of Banach contraction principle in metric spaces. In [3] the de nition of probabilistic Nadler q-contraction is given. Using some results given in [12] a xed point theorem on spaces with a convex structure is...

The purpose of this paper is to introduce a new extension the generalized admissible S-algorithm for approximating common fixed point three multivalued mappings satisfying two general classes contraction conditions in uniformly convex Banach space endowed with graph. As an application our result we establish solution image recovery problem Hilbert setting.

In the present work, we first discuss definition of a multivalued ($\psi$-$G$)-contraction mapping in metricspace endowed with graph as introduced \cite{1} and suggest generalization. Then, prove common fixed point theorem for mappings partial metric spaces graph. An example application illustrates main existence result some known results are derived.

In this article, we introduce the concept of weak F?m,?-contractions on relation-theoretic m-metric spaces and establish related fixed point theorems, where ? is a control function ? relation. Then, detail some results for cyclic-type F?m,?-contraction mappings. Finally, demonstrate illustrative examples discuss upper lower solutions Volterra-type integral equations form ??=?0?A?,?,??m?+??,??0,1.

This paper is concerned with the existence of solutions a class Cauchy problems for hyperbolic partial fractional differential inclusions (HPFD) involving Caputo derivative an impulse whose right hand side convex and non-convex valued. Our results are achieved within framework nonlinear alternative Leray-Schauder type contraction multivalued maps. A detailed example was provided to support theo...

The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

Perov studied the Banach contraction principle in framework of a generalized metric space and presented condition where contractive constant is replaced by matrix with nonnegative entries spectral radius less than 1. Azam et al. notion rectangular cone following idea Branciari, Huang Zhang replacing triangular inequality inequality. Motivated work Abbas Vetro Radenovi´c, purpose this paper to i...

Let K be a nonempty closed convex subset of a real reflexive Banach space X that has weakly sequentially continuous duality mapping Jφ for some gauge φ. Let Ti : K → K be a family of multivalued nonexpansive mappings with F := ∩∞i=0 F(Ti) ≠ ∅ which is a sunny nonexpansive retract of K with Q a nonexpansive retraction. It is our purpose in this paper to prove the convergence of two viscosity app...