We give necessary and sufficient conditions for the boundedness of generalized fractional integral maximal operators on Orlicz–Morrey weak spaces. To do this, we prove weak–weak type modular inequality Hardy–Littlewood operator with respect to Young function. spaces contain L p $L^p$ ( 1 ≤ ∞ $1\le p\le \infty$ ), Orlicz spaces, Morrey as special cases. Hence, get these function corollaries.

Convexity assumptions for fractional programming of variational type are relaxed to generalized invexity. The sufficient optimality conditions are employed to construct a mixed dual programming problem. It will involve the Wolfe type dual and Mond-Weir type dual as its special situations. Several duality theorems concerning weak, strong, and strict converse duality under the framework in mixed ...

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.

in this paper, we prove a common fixed point theorem for six mappings (two set valued and four single valued mappings) without assuming compatibility and continuity of any mapping on non complete metric spaces. to prove the theorem, we use a non compatible condition, that is, weak commutativity of type (kb). we show that completeness of the whole space is not necessary for the existence and uni...

We prove that the generalized Carleson operator with polynomial phase function of degree two is of weak type (2,2). For this, we introduce a new approach to the time-frequency analysis of the quadratic phase.

Many fixed point theorems for mapping satisfies a generalized weak contractive condition is already established. In this paper we also give a result on fixed point for mapping satisfying a weakly contractive condition of integral type.