In this paper we underline the importance of the parametric subregularity property of setvalued mappings, de…ned with respect to …xed sets. We show that this property appears naturally for some very simple mappings which play an important role in the theory of metric regularity. We prove a result concerning the preservation of metric subregularity at generalized compositions. Then we obtain, on...

In this paper, we establish a result for the existence of common fixed points multi-valued mappings, satisfying some contractions complex-valued b-metric spaces. Finally, present an example to illustrate and support our results.

in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.

In this paper, we provide and study the concept of multi-valued generalized (α,β)-nonexpansive mappings, which is version recently developed mappings. We establish some elementary properties fixed point existence results for these Moreover, a M-iterative scheme proposed approximating points mappings in weak strong senses. Using an example, also show that converges faster as compared to many oth...

In this paper, we introduce and study a new class of generalized strongly nonlinear implicit quasivariational inequalities for set-valued mappings and construct some new iterative algorithms for these kinds of generalized strongly nonlinear implicit quasivariational inequalities by using the projection method and Nadler’s theorem. We prove some existence theorems of solutions for these kinds of...

Let M be a set–valued mapping defined between two Banach spaces E and F . Several important aspects of behavior of M can be characterized in terms of the distance function to images ∆M defined by ∆M (x, y) := d ( y, M(x) ) for all (x, y) ∈ E × F . In this paper, we use this function to scalarize the Fréchet normal regularity of set–valued mappings. The Fréchet subdifferential regularity of ∆M i...

This paper primarily concerns the study of general classes of constrained multiobjective optimization problems (including those described via set-valued and vector-valued cost mappings) from the viewpoint of modern variational analysis and generalized differentiation. To proceed, we first establish two variational principles for set-valued mappings, which—being certainly of independent interest...