In this paper, we establish existence and uniqueness results for a new class of boundary value problems involving the ?-Hilfer generalized proportional fractional derivative operator, supplemented with mixed nonlocal conditions including multipoint, integral multiorder operators. The given problem is first converted into an equivalent fixed point problem, which then solved by means standard the...

In this paper, we prove a fixed point result for a self-mapping on a G-metric space satisfying (ψ,φ)-weakly contractive conditions. Besides this, a non-trivial example is presented.

The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single-valued and set-valued maps in non-Archimedean fuzzy metric spaces. We also list some examples to show the difference between (CLR) property and (JCLR) property. Further, we establish common fixed point theorems using implicit relation with integral contractive condition. Se...

In this article, we study Feng-Liu [Fixed point theorems for multi-valued contractive mappings and Caristi type mappings, J. Math. Anal. Appl. 317 (2006), 103-112.] fixed present some new results in metric spaces using the concept of ?-distance. We also discuss, non-trivial examples to illustrate facts. Finally, applications our integral inclusions non-linear matrix equations. An example is giv...

In this paper, we introduce a generalized ?-implicit locally contractive condition and give some examples to support it show its significance in fixed point theory. We prove that the mappings satisfying admit common point, where ordered multiplicative GM-metric space is chosen as underlying space. The obtained theorems generalize many earlier on implicit mappings. addition, nontrivial interesti...

In this paper, we investigate two iterative methods for k-strict pseudocontractive mappings in a real Hilbert space. We prove that the proposed iterative algorithms converge strongly to some fixed point of a strict pseudo-contractive mapping.

In this paper, we study some results of existence and uniqueness fixed points for a C-class mappings satisfying an inequality rational type in b-metric spaces. After definition functions covering large class contractive conditions by Ansari [2]. Our extend very recent the literature; as well Khan [14] later Fisher [9] gave revised improved version Khan’s result Piri [17] new generalization Theo...

Our aim in the present paper is three fold. Firstly, we obtain a common fixed point theorem for a pair of self mappings satisfying a Lipschitz type condition employing the property (E.A.) along with a relatively new notion of absorbing pair of maps wherein we never require conditions on the completeness of the space, containment of range of one mapping into the range of other, continuity of the...

in this paper, we shall introduce the fuzzyw-distance, then prove a common fixed point theorem with respectto fuzzy w-distance for two mappings under the condition ofweakly compatible in complete fuzzy metric spaces.

Abstract The aim of this manuscript is to prove some new fixed-point results for the two families multivalued dominated-contractive maps defined on a closed ball in complete multiplicative-metric space. theorems multigraph-dominated are established. We also investigate existence fixed points graphic contractions For illustration, an example provided clarify that hypothesis obtained result valid...