In this paper, we prove a fixed point theorem for the sum of a nonlinear contraction mapping and compact operator. The fixed point theorem obtained here resembles that of Krasnoselskii in which the mapping function is a combination of contraction and compact operators. It also takes the form of Schaefer’s fixed point theorem of continuation type. Criteria on periodicity and control in integral ...

In this paper existence and uniqueness of fixed points are proved for self maps, satisfying a new contraction without assuming the compatibility commutative property maps. Some remarks applications to integral type given illustrate importance our results. An open problem future research is also given.

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.

The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and prove corresponding fixed point theorems in complete modular metric space with some specific assumption on the modular. Then we apply our resu...

Abstract The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, novel integral-type contraction condition applied obtain these results. In way, several useful classical results have been generalized. Moreover, concrete example created furnish our An ...

In this paper, we introduce fruitful concepts of common limit range and joint common limit range for coupled mappings on modified intuitionistic fuzzy metric spaces. An illustrations are also given to justify the notion of common limit range and joint common limit range property for coupled maps. The purpose of this paper is to prove fixed point results for coupled mappings on modified intuitio...

in this paper, two pairs of new inequalities are given, which decompose two hilbert-type inequalities.

Recently, Piri and Kumam [Fixed Point Theory and Applications 2014, 2014:210] improved concept of F -contraction and proved some Wardowski and Suzuki type …xed point results in metric spaces. The aim of this article is to de…ne generalized GF -contraction and establish Wardowski and Suzuki type …xed point results in metric and ordered metric spaces and derive main results of Piri et al. as coro...

in this paper, two pairs of new inequalities are given, which decompose two hilbert-type inequalities.